Finding the Third Proportional to 77.50 and 89.25

Step by Step Solution

1. Step 1: Write the proportion equation
   77.50 : 89.25 = 89.25 : x
2. Step 2: Convert to fraction form
   77.50/89.25 = 89.25/x
3. Step 3: Cross multiply
   77.50x = 89.25 × 89.25
4. Step 4: Simplify right side
   77.50x = 7,965.56
5. Step 5: Solve for x
   x = 7,965.56/77.50
6. Step 6: Final answer
   x = 102.78