Finding the Third Proportional to 31,382 and 65,314

Step by Step Solution

1. Step 1: Write the proportion equation
   31,382 : 65,314 = 65,314 : x
2. Step 2: Convert to fraction form
   31,382/65,314 = 65,314/x
3. Step 3: Cross multiply
   31,382x = 65,314 × 65,314
4. Step 4: Simplify right side
   31,382x = 4,265,918,596
5. Step 5: Solve for x
   x = 4,265,918,596/31,382
6. Step 6: Final answer
   x = 135,935.20