Finding the Third Proportional to 59,589 and 82,092

Step by Step Solution

1. Step 1: Write the proportion equation
   59,589 : 82,092 = 82,092 : x
2. Step 2: Convert to fraction form
   59,589/82,092 = 82,092/x
3. Step 3: Cross multiply
   59,589x = 82,092 × 82,092
4. Step 4: Simplify right side
   59,589x = 6,739,096,464
5. Step 5: Solve for x
   x = 6,739,096,464/59,589
6. Step 6: Final answer
   x = 113,092.96