Finding the Third Proportional to 22,175,233,727,854 and 32,598,577,302,604

Step by Step Solution

1. Step 1: Write the proportion equation
   22,175,233,727,854 : 32,598,577,302,604 = 32,598,577,302,604 : x
2. Step 2: Convert to fraction form
   22,175,233,727,854/32,598,577,302,604 = 32,598,577,302,604/x
3. Step 3: Cross multiply
   22,175,233,727,854x = 32,598,577,302,604 × 32,598,577,302,604
4. Step 4: Simplify right side
   22,175,233,727,854x = 1,062,667,242,153,848,712,783,200,256
5. Step 5: Solve for x
   x = 1,062,667,242,153,848,712,783,200,256/22,175,233,727,854
6. Step 6: Final answer
   x = 47,921,354,750,775.29