Finding the Third Proportional to 54,381.50 and 76,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,381.50 : 76,582.50 = 76,582.50 : x
2. Step 2: Convert to fraction form
   54,381.50/76,582.50 = 76,582.50/x
3. Step 3: Cross multiply
   54,381.50x = 76,582.50 × 76,582.50
4. Step 4: Simplify right side
   54,381.50x = 5,864,879,306.25
5. Step 5: Solve for x
   x = 5,864,879,306.25/54,381.50
6. Step 6: Final answer
   x = 107,846.96