Finding the Third Proportional to 31,246 and 65,758

Step by Step Solution

1. Step 1: Write the proportion equation
   31,246 : 65,758 = 65,758 : x
2. Step 2: Convert to fraction form
   31,246/65,758 = 65,758/x
3. Step 3: Cross multiply
   31,246x = 65,758 × 65,758
4. Step 4: Simplify right side
   31,246x = 4,324,114,564
5. Step 5: Solve for x
   x = 4,324,114,564/31,246
6. Step 6: Final answer
   x = 138,389.38