Finding the Third Proportional to 59,634 and 83,585

Step by Step Solution

1. Step 1: Write the proportion equation
   59,634 : 83,585 = 83,585 : x
2. Step 2: Convert to fraction form
   59,634/83,585 = 83,585/x
3. Step 3: Cross multiply
   59,634x = 83,585 × 83,585
4. Step 4: Simplify right side
   59,634x = 6,986,452,225
5. Step 5: Solve for x
   x = 6,986,452,225/59,634
6. Step 6: Final answer
   x = 117,155.52