Finding the Third Proportional to 59,538 and 80,858

Step by Step Solution

1. Step 1: Write the proportion equation
   59,538 : 80,858 = 80,858 : x
2. Step 2: Convert to fraction form
   59,538/80,858 = 80,858/x
3. Step 3: Cross multiply
   59,538x = 80,858 × 80,858
4. Step 4: Simplify right side
   59,538x = 6,538,016,164
5. Step 5: Solve for x
   x = 6,538,016,164/59,538
6. Step 6: Final answer
   x = 109,812.49