Finding the Third Proportional to 59,466 and 81,544.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,466 : 81,544.50 = 81,544.50 : x
2. Step 2: Convert to fraction form
   59,466/81,544.50 = 81,544.50/x
3. Step 3: Cross multiply
   59,466x = 81,544.50 × 81,544.50
4. Step 4: Simplify right side
   59,466x = 6,649,505,480.25
5. Step 5: Solve for x
   x = 6,649,505,480.25/59,466
6. Step 6: Final answer
   x = 111,820.29