Finding the Third Proportional to 37,932.50 and 54,639.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,932.50 : 54,639.50 = 54,639.50 : x
2. Step 2: Convert to fraction form
   37,932.50/54,639.50 = 54,639.50/x
3. Step 3: Cross multiply
   37,932.50x = 54,639.50 × 54,639.50
4. Step 4: Simplify right side
   37,932.50x = 2,985,474,960.25
5. Step 5: Solve for x
   x = 2,985,474,960.25/37,932.50
6. Step 6: Final answer
   x = 78,704.94