Finding the Third Proportional to 69.69 and 114.06

Step by Step Solution

1. Step 1: Write the proportion equation
   69.69 : 114.06 = 114.06 : x
2. Step 2: Convert to fraction form
   69.69/114.06 = 114.06/x
3. Step 3: Cross multiply
   69.69x = 114.06 × 114.06
4. Step 4: Simplify right side
   69.69x = 13,010.25
5. Step 5: Solve for x
   x = 13,010.25/69.69
6. Step 6: Final answer
   x = 186.69