Finding the Third Proportional to 100.69 and 114.96

Step by Step Solution

1. Step 1: Write the proportion equation
   100.69 : 114.96 = 114.96 : x
2. Step 2: Convert to fraction form
   100.69/114.96 = 114.96/x
3. Step 3: Cross multiply
   100.69x = 114.96 × 114.96
4. Step 4: Simplify right side
   100.69x = 13,216.02
5. Step 5: Solve for x
   x = 13,216.02/100.69
6. Step 6: Final answer
   x = 131.26