Finding the Third Proportional to 59,538 and 81,078

Step by Step Solution

1. Step 1: Write the proportion equation
   59,538 : 81,078 = 81,078 : x
2. Step 2: Convert to fraction form
   59,538/81,078 = 81,078/x
3. Step 3: Cross multiply
   59,538x = 81,078 × 81,078
4. Step 4: Simplify right side
   59,538x = 6,573,642,084
5. Step 5: Solve for x
   x = 6,573,642,084/59,538
6. Step 6: Final answer
   x = 110,410.87