Finding the Third Proportional to 59,640 and 83,592

Step by Step Solution

1. Step 1: Write the proportion equation
   59,640 : 83,592 = 83,592 : x
2. Step 2: Convert to fraction form
   59,640/83,592 = 83,592/x
3. Step 3: Cross multiply
   59,640x = 83,592 × 83,592
4. Step 4: Simplify right side
   59,640x = 6,987,622,464
5. Step 5: Solve for x
   x = 6,987,622,464/59,640
6. Step 6: Final answer
   x = 117,163.35