Finding the Third Proportional to 59,748 and 81,193.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,748 : 81,193.50 = 81,193.50 : x
2. Step 2: Convert to fraction form
   59,748/81,193.50 = 81,193.50/x
3. Step 3: Cross multiply
   59,748x = 81,193.50 × 81,193.50
4. Step 4: Simplify right side
   59,748x = 6,592,384,442.25
5. Step 5: Solve for x
   x = 6,592,384,442.25/59,748
6. Step 6: Final answer
   x = 110,336.49