Finding the Third Proportional to 59,584 and 82,076

Step by Step Solution

1. Step 1: Write the proportion equation
   59,584 : 82,076 = 82,076 : x
2. Step 2: Convert to fraction form
   59,584/82,076 = 82,076/x
3. Step 3: Cross multiply
   59,584x = 82,076 × 82,076
4. Step 4: Simplify right side
   59,584x = 6,736,469,776
5. Step 5: Solve for x
   x = 6,736,469,776/59,584
6. Step 6: Final answer
   x = 113,058.37