Finding the Third Proportional to 76.91 and 114.28

Step by Step Solution

1. Step 1: Write the proportion equation
   76.91 : 114.28 = 114.28 : x
2. Step 2: Convert to fraction form
   76.91/114.28 = 114.28/x
3. Step 3: Cross multiply
   76.91x = 114.28 × 114.28
4. Step 4: Simplify right side
   76.91x = 13,060.20
5. Step 5: Solve for x
   x = 13,060.20/76.91
6. Step 6: Final answer
   x = 169.82