Finding the Third Proportional to 59,607 and 82,635

Step by Step Solution

1. Step 1: Write the proportion equation
   59,607 : 82,635 = 82,635 : x
2. Step 2: Convert to fraction form
   59,607/82,635 = 82,635/x
3. Step 3: Cross multiply
   59,607x = 82,635 × 82,635
4. Step 4: Simplify right side
   59,607x = 6,828,543,225
5. Step 5: Solve for x
   x = 6,828,543,225/59,607
6. Step 6: Final answer
   x = 114,559.42