Finding the Third Proportional to 38,257.13 and 53,778.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,257.13 : 53,778.75 = 53,778.75 : x
2. Step 2: Convert to fraction form
   38,257.13/53,778.75 = 53,778.75/x
3. Step 3: Cross multiply
   38,257.13x = 53,778.75 × 53,778.75
4. Step 4: Simplify right side
   38,257.13x = 2,892,153,951.56
5. Step 5: Solve for x
   x = 2,892,153,951.56/38,257.13
6. Step 6: Final answer
   x = 75,597.79