Finding the Third Proportional to 13,729.50 and 32,607.56

Step by Step Solution

1. Step 1: Write the proportion equation
   13,729.50 : 32,607.56 = 32,607.56 : x
2. Step 2: Convert to fraction form
   13,729.50/32,607.56 = 32,607.56/x
3. Step 3: Cross multiply
   13,729.50x = 32,607.56 × 32,607.56
4. Step 4: Simplify right side
   13,729.50x = 1,063,253,132.19
5. Step 5: Solve for x
   x = 1,063,253,132.19/13,729.50
6. Step 6: Final answer
   x = 77,442.96