Finding the Third Proportional to 31,747 and 60,614

Step by Step Solution

1. Step 1: Write the proportion equation
   31,747 : 60,614 = 60,614 : x
2. Step 2: Convert to fraction form
   31,747/60,614 = 60,614/x
3. Step 3: Cross multiply
   31,747x = 60,614 × 60,614
4. Step 4: Simplify right side
   31,747x = 3,674,056,996
5. Step 5: Solve for x
   x = 3,674,056,996/31,747
6. Step 6: Final answer
   x = 115,729.27