Finding the Third Proportional to 59,699 and 83,676

Step by Step Solution

1. Step 1: Write the proportion equation
   59,699 : 83,676 = 83,676 : x
2. Step 2: Convert to fraction form
   59,699/83,676 = 83,676/x
3. Step 3: Cross multiply
   59,699x = 83,676 × 83,676
4. Step 4: Simplify right side
   59,699x = 7,001,672,976
5. Step 5: Solve for x
   x = 7,001,672,976/59,699
6. Step 6: Final answer
   x = 117,282.92