Finding the Third Proportional to 38,524.50 and 57,543.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,524.50 : 57,543.75 = 57,543.75 : x
2. Step 2: Convert to fraction form
   38,524.50/57,543.75 = 57,543.75/x
3. Step 3: Cross multiply
   38,524.50x = 57,543.75 × 57,543.75
4. Step 4: Simplify right side
   38,524.50x = 3,311,283,164.06
5. Step 5: Solve for x
   x = 3,311,283,164.06/38,524.50
6. Step 6: Final answer
   x = 85,952.66