Finding the Third Proportional to 22,658 and 35,012

Step by Step Solution

1. Step 1: Write the proportion equation
   22,658 : 35,012 = 35,012 : x
2. Step 2: Convert to fraction form
   22,658/35,012 = 35,012/x
3. Step 3: Cross multiply
   22,658x = 35,012 × 35,012
4. Step 4: Simplify right side
   22,658x = 1,225,840,144
5. Step 5: Solve for x
   x = 1,225,840,144/22,658
6. Step 6: Final answer
   x = 54,101.87