Finding the Third Proportional to 59,953.50 and 85,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,953.50 : 85,414.50 = 85,414.50 : x
2. Step 2: Convert to fraction form
   59,953.50/85,414.50 = 85,414.50/x
3. Step 3: Cross multiply
   59,953.50x = 85,414.50 × 85,414.50
4. Step 4: Simplify right side
   59,953.50x = 7,295,636,810.25
5. Step 5: Solve for x
   x = 7,295,636,810.25/59,953.50
6. Step 6: Final answer
   x = 121,688.26