Finding the Third Proportional to 24,657 and 32,935.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,657 : 32,935.50 = 32,935.50 : x
2. Step 2: Convert to fraction form
   24,657/32,935.50 = 32,935.50/x
3. Step 3: Cross multiply
   24,657x = 32,935.50 × 32,935.50
4. Step 4: Simplify right side
   24,657x = 1,084,747,160.25
5. Step 5: Solve for x
   x = 1,084,747,160.25/24,657
6. Step 6: Final answer
   x = 43,993.48