Finding the Third Proportional to 77,727.75 and 91,920.75

Step by Step Solution

1. Step 1: Write the proportion equation
   77,727.75 : 91,920.75 = 91,920.75 : x
2. Step 2: Convert to fraction form
   77,727.75/91,920.75 = 91,920.75/x
3. Step 3: Cross multiply
   77,727.75x = 91,920.75 × 91,920.75
4. Step 4: Simplify right side
   77,727.75x = 8,449,424,280.56
5. Step 5: Solve for x
   x = 8,449,424,280.56/77,727.75
6. Step 6: Final answer
   x = 108,705.38