Finding the Third Proportional to 7,501.50 and 16,138.13

Step by Step Solution

1. Step 1: Write the proportion equation
   7,501.50 : 16,138.13 = 16,138.13 : x
2. Step 2: Convert to fraction form
   7,501.50/16,138.13 = 16,138.13/x
3. Step 3: Cross multiply
   7,501.50x = 16,138.13 × 16,138.13
4. Step 4: Simplify right side
   7,501.50x = 260,439,078.52
5. Step 5: Solve for x
   x = 260,439,078.52/7,501.50
6. Step 6: Final answer
   x = 34,718.27