Finding the Third Proportional to 31,248 and 65,762

Step by Step Solution

1. Step 1: Write the proportion equation
   31,248 : 65,762 = 65,762 : x
2. Step 2: Convert to fraction form
   31,248/65,762 = 65,762/x
3. Step 3: Cross multiply
   31,248x = 65,762 × 65,762
4. Step 4: Simplify right side
   31,248x = 4,324,640,644
5. Step 5: Solve for x
   x = 4,324,640,644/31,248
6. Step 6: Final answer
   x = 138,397.36