Finding the Third Proportional to 15,142.50 and 31,509

Step by Step Solution

1. Step 1: Write the proportion equation
   15,142.50 : 31,509 = 31,509 : x
2. Step 2: Convert to fraction form
   15,142.50/31,509 = 31,509/x
3. Step 3: Cross multiply
   15,142.50x = 31,509 × 31,509
4. Step 4: Simplify right side
   15,142.50x = 992,817,081
5. Step 5: Solve for x
   x = 992,817,081/15,142.50
6. Step 6: Final answer
   x = 65,564.94