Finding the Third Proportional to 13,597.50 and 32,731.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,597.50 : 32,731.50 = 32,731.50 : x
2. Step 2: Convert to fraction form
   13,597.50/32,731.50 = 32,731.50/x
3. Step 3: Cross multiply
   13,597.50x = 32,731.50 × 32,731.50
4. Step 4: Simplify right side
   13,597.50x = 1,071,351,092.25
5. Step 5: Solve for x
   x = 1,071,351,092.25/13,597.50
6. Step 6: Final answer
   x = 78,790.30