Finding the Third Proportional to 26.58 and 42.00

Step by Step Solution

1. Step 1: Write the proportion equation
   26.58 : 42.00 = 42.00 : x
2. Step 2: Convert to fraction form
   26.58/42.00 = 42.00/x
3. Step 3: Cross multiply
   26.58x = 42.00 × 42.00
4. Step 4: Simplify right side
   26.58x = 1,764.25
5. Step 5: Solve for x
   x = 1,764.25/26.58
6. Step 6: Final answer
   x = 66.38