Finding the Third Proportional to 76.78 and 101.04

Step by Step Solution

1. Step 1: Write the proportion equation
   76.78 : 101.04 = 101.04 : x
2. Step 2: Convert to fraction form
   76.78/101.04 = 101.04/x
3. Step 3: Cross multiply
   76.78x = 101.04 × 101.04
4. Step 4: Simplify right side
   76.78x = 10,208.89
5. Step 5: Solve for x
   x = 10,208.89/76.78
6. Step 6: Final answer
   x = 132.96