Finding the Third Proportional to 7,114.50 and 16,355.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,114.50 : 16,355.25 = 16,355.25 : x
2. Step 2: Convert to fraction form
   7,114.50/16,355.25 = 16,355.25/x
3. Step 3: Cross multiply
   7,114.50x = 16,355.25 × 16,355.25
4. Step 4: Simplify right side
   7,114.50x = 267,494,202.56
5. Step 5: Solve for x
   x = 267,494,202.56/7,114.50
6. Step 6: Final answer
   x = 37,598.45