Finding the Third Proportional to 59,676 and 83,630

Step by Step Solution

1. Step 1: Write the proportion equation
   59,676 : 83,630 = 83,630 : x
2. Step 2: Convert to fraction form
   59,676/83,630 = 83,630/x
3. Step 3: Cross multiply
   59,676x = 83,630 × 83,630
4. Step 4: Simplify right side
   59,676x = 6,993,976,900
5. Step 5: Solve for x
   x = 6,993,976,900/59,676
6. Step 6: Final answer
   x = 117,199.16