Finding the Third Proportional to 31,128 and 65,292

Step by Step Solution

1. Step 1: Write the proportion equation
   31,128 : 65,292 = 65,292 : x
2. Step 2: Convert to fraction form
   31,128/65,292 = 65,292/x
3. Step 3: Cross multiply
   31,128x = 65,292 × 65,292
4. Step 4: Simplify right side
   31,128x = 4,263,045,264
5. Step 5: Solve for x
   x = 4,263,045,264/31,128
6. Step 6: Final answer
   x = 136,952.11