Finding the Third Proportional to 14,661 and 32,593.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,661 : 32,593.50 = 32,593.50 : x
2. Step 2: Convert to fraction form
   14,661/32,593.50 = 32,593.50/x
3. Step 3: Cross multiply
   14,661x = 32,593.50 × 32,593.50
4. Step 4: Simplify right side
   14,661x = 1,062,336,242.25
5. Step 5: Solve for x
   x = 1,062,336,242.25/14,661
6. Step 6: Final answer
   x = 72,460.01