Finding the Third Proportional to 59,674 and 83,651

Step by Step Solution

1. Step 1: Write the proportion equation
   59,674 : 83,651 = 83,651 : x
2. Step 2: Convert to fraction form
   59,674/83,651 = 83,651/x
3. Step 3: Cross multiply
   59,674x = 83,651 × 83,651
4. Step 4: Simplify right side
   59,674x = 6,997,489,801
5. Step 5: Solve for x
   x = 6,997,489,801/59,674
6. Step 6: Final answer
   x = 117,261.95