Finding the Third Proportional to 59,642 and 83,587

Step by Step Solution

1. Step 1: Write the proportion equation
   59,642 : 83,587 = 83,587 : x
2. Step 2: Convert to fraction form
   59,642/83,587 = 83,587/x
3. Step 3: Cross multiply
   59,642x = 83,587 × 83,587
4. Step 4: Simplify right side
   59,642x = 6,986,786,569
5. Step 5: Solve for x
   x = 6,986,786,569/59,642
6. Step 6: Final answer
   x = 117,145.41