Finding the Third Proportional to 59,638 and 83,590

Step by Step Solution

1. Step 1: Write the proportion equation
   59,638 : 83,590 = 83,590 : x
2. Step 2: Convert to fraction form
   59,638/83,590 = 83,590/x
3. Step 3: Cross multiply
   59,638x = 83,590 × 83,590
4. Step 4: Simplify right side
   59,638x = 6,987,288,100
5. Step 5: Solve for x
   x = 6,987,288,100/59,638
6. Step 6: Final answer
   x = 117,161.68