Finding the Third Proportional to 76.88 and 88.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76.88 : 88.50 = 88.50 : x
2. Step 2: Convert to fraction form
   76.88/88.50 = 88.50/x
3. Step 3: Cross multiply
   76.88x = 88.50 × 88.50
4. Step 4: Simplify right side
   76.88x = 7,832.25
5. Step 5: Solve for x
   x = 7,832.25/76.88
6. Step 6: Final answer
   x = 101.88