Finding the Third Proportional to 13,540.50 and 32,771.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,540.50 : 32,771.25 = 32,771.25 : x
2. Step 2: Convert to fraction form
   13,540.50/32,771.25 = 32,771.25/x
3. Step 3: Cross multiply
   13,540.50x = 32,771.25 × 32,771.25
4. Step 4: Simplify right side
   13,540.50x = 1,073,954,826.56
5. Step 5: Solve for x
   x = 1,073,954,826.56/13,540.50
6. Step 6: Final answer
   x = 79,314.27