Finding the Third Proportional to 31,786 and 60,680

Step by Step Solution

1. Step 1: Write the proportion equation
   31,786 : 60,680 = 60,680 : x
2. Step 2: Convert to fraction form
   31,786/60,680 = 60,680/x
3. Step 3: Cross multiply
   31,786x = 60,680 × 60,680
4. Step 4: Simplify right side
   31,786x = 3,682,062,400
5. Step 5: Solve for x
   x = 3,682,062,400/31,786
6. Step 6: Final answer
   x = 115,839.12