Finding the Third Proportional to 59,632 and 83,580

Step by Step Solution

1. Step 1: Write the proportion equation
   59,632 : 83,580 = 83,580 : x
2. Step 2: Convert to fraction form
   59,632/83,580 = 83,580/x
3. Step 3: Cross multiply
   59,632x = 83,580 × 83,580
4. Step 4: Simplify right side
   59,632x = 6,985,616,400
5. Step 5: Solve for x
   x = 6,985,616,400/59,632
6. Step 6: Final answer
   x = 117,145.43