Finding the Third Proportional to 39,771.50 and 55,746.75

Step by Step Solution

1. Step 1: Write the proportion equation
   39,771.50 : 55,746.75 = 55,746.75 : x
2. Step 2: Convert to fraction form
   39,771.50/55,746.75 = 55,746.75/x
3. Step 3: Cross multiply
   39,771.50x = 55,746.75 × 55,746.75
4. Step 4: Simplify right side
   39,771.50x = 3,107,700,135.56
5. Step 5: Solve for x
   x = 3,107,700,135.56/39,771.50
6. Step 6: Final answer
   x = 78,138.87