Finding the Third Proportional to 10,820.25 and 22,744.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,820.25 : 22,744.13 = 22,744.13 : x
2. Step 2: Convert to fraction form
   10,820.25/22,744.13 = 22,744.13/x
3. Step 3: Cross multiply
   10,820.25x = 22,744.13 × 22,744.13
4. Step 4: Simplify right side
   10,820.25x = 517,295,222.02
5. Step 5: Solve for x
   x = 517,295,222.02/10,820.25
6. Step 6: Final answer
   x = 47,808.07