Finding the Third Proportional to 38,778.75 and 81,108.56

Step by Step Solution

1. Step 1: Write the proportion equation
   38,778.75 : 81,108.56 = 81,108.56 : x
2. Step 2: Convert to fraction form
   38,778.75/81,108.56 = 81,108.56/x
3. Step 3: Cross multiply
   38,778.75x = 81,108.56 × 81,108.56
4. Step 4: Simplify right side
   38,778.75x = 6,578,598,910.82
5. Step 5: Solve for x
   x = 6,578,598,910.82/38,778.75
6. Step 6: Final answer
   x = 169,644.43