Finding the Third Proportional to 100.75 and 114.38

Step by Step Solution

1. Step 1: Write the proportion equation
   100.75 : 114.38 = 114.38 : x
2. Step 2: Convert to fraction form
   100.75/114.38 = 114.38/x
3. Step 3: Cross multiply
   100.75x = 114.38 × 114.38
4. Step 4: Simplify right side
   100.75x = 13,081.64
5. Step 5: Solve for x
   x = 13,081.64/100.75
6. Step 6: Final answer
   x = 129.84