Finding the Third Proportional to 26.25 and 42.63

Step by Step Solution

1. Step 1: Write the proportion equation
   26.25 : 42.63 = 42.63 : x
2. Step 2: Convert to fraction form
   26.25/42.63 = 42.63/x
3. Step 3: Cross multiply
   26.25x = 42.63 × 42.63
4. Step 4: Simplify right side
   26.25x = 1,816.89
5. Step 5: Solve for x
   x = 1,816.89/26.25
6. Step 6: Final answer
   x = 69.21