Finding the Third Proportional to 26.66 and 42.51

Step by Step Solution

1. Step 1: Write the proportion equation
   26.66 : 42.51 = 42.51 : x
2. Step 2: Convert to fraction form
   26.66/42.51 = 42.51/x
3. Step 3: Cross multiply
   26.66x = 42.51 × 42.51
4. Step 4: Simplify right side
   26.66x = 1,807.25
5. Step 5: Solve for x
   x = 1,807.25/26.66
6. Step 6: Final answer
   x = 67.78