Finding the Third Proportional to 15,264 and 31,507

Step by Step Solution

1. Step 1: Write the proportion equation
   15,264 : 31,507 = 31,507 : x
2. Step 2: Convert to fraction form
   15,264/31,507 = 31,507/x
3. Step 3: Cross multiply
   15,264x = 31,507 × 31,507
4. Step 4: Simplify right side
   15,264x = 992,691,049
5. Step 5: Solve for x
   x = 992,691,049/15,264
6. Step 6: Final answer
   x = 65,034.79