Finding the Third Proportional to 31,315 and 65,911

Step by Step Solution

1. Step 1: Write the proportion equation
   31,315 : 65,911 = 65,911 : x
2. Step 2: Convert to fraction form
   31,315/65,911 = 65,911/x
3. Step 3: Cross multiply
   31,315x = 65,911 × 65,911
4. Step 4: Simplify right side
   31,315x = 4,344,259,921
5. Step 5: Solve for x
   x = 4,344,259,921/31,315
6. Step 6: Final answer
   x = 138,727.76