Finding the Third Proportional to 76.50 and 102.75

Step by Step Solution

1. Step 1: Write the proportion equation
   76.50 : 102.75 = 102.75 : x
2. Step 2: Convert to fraction form
   76.50/102.75 = 102.75/x
3. Step 3: Cross multiply
   76.50x = 102.75 × 102.75
4. Step 4: Simplify right side
   76.50x = 10,557.56
5. Step 5: Solve for x
   x = 10,557.56/76.50
6. Step 6: Final answer
   x = 138.01