Finding the Third Proportional to 31,320 and 65,934

Step by Step Solution

1. Step 1: Write the proportion equation
   31,320 : 65,934 = 65,934 : x
2. Step 2: Convert to fraction form
   31,320/65,934 = 65,934/x
3. Step 3: Cross multiply
   31,320x = 65,934 × 65,934
4. Step 4: Simplify right side
   31,320x = 4,347,292,356
5. Step 5: Solve for x
   x = 4,347,292,356/31,320
6. Step 6: Final answer
   x = 138,802.44