Finding the Third Proportional to 59,629 and 83,569

Step by Step Solution

1. Step 1: Write the proportion equation
   59,629 : 83,569 = 83,569 : x
2. Step 2: Convert to fraction form
   59,629/83,569 = 83,569/x
3. Step 3: Cross multiply
   59,629x = 83,569 × 83,569
4. Step 4: Simplify right side
   59,629x = 6,983,777,761
5. Step 5: Solve for x
   x = 6,983,777,761/59,629
6. Step 6: Final answer
   x = 117,120.49