Finding the Third Proportional to 40,128.50 and 53,685.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,128.50 : 53,685.50 = 53,685.50 : x
2. Step 2: Convert to fraction form
   40,128.50/53,685.50 = 53,685.50/x
3. Step 3: Cross multiply
   40,128.50x = 53,685.50 × 53,685.50
4. Step 4: Simplify right side
   40,128.50x = 2,882,132,910.25
5. Step 5: Solve for x
   x = 2,882,132,910.25/40,128.50
6. Step 6: Final answer
   x = 71,822.59