Finding the Third Proportional to 59,461.50 and 81,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,461.50 : 81,538.50 = 81,538.50 : x
2. Step 2: Convert to fraction form
   59,461.50/81,538.50 = 81,538.50/x
3. Step 3: Cross multiply
   59,461.50x = 81,538.50 × 81,538.50
4. Step 4: Simplify right side
   59,461.50x = 6,648,526,982.25
5. Step 5: Solve for x
   x = 6,648,526,982.25/59,461.50
6. Step 6: Final answer
   x = 111,812.30