Finding the Third Proportional to 7,539.75 and 16,355.06

Step by Step Solution

1. Step 1: Write the proportion equation
   7,539.75 : 16,355.06 = 16,355.06 : x
2. Step 2: Convert to fraction form
   7,539.75/16,355.06 = 16,355.06/x
3. Step 3: Cross multiply
   7,539.75x = 16,355.06 × 16,355.06
4. Step 4: Simplify right side
   7,539.75x = 267,488,069.38
5. Step 5: Solve for x
   x = 267,488,069.38/7,539.75
6. Step 6: Final answer
   x = 35,477.05