Finding the Third Proportional to 26.16 and 35.86

Step by Step Solution

1. Step 1: Write the proportion equation
   26.16 : 35.86 = 35.86 : x
2. Step 2: Convert to fraction form
   26.16/35.86 = 35.86/x
3. Step 3: Cross multiply
   26.16x = 35.86 × 35.86
4. Step 4: Simplify right side
   26.16x = 1,285.89
5. Step 5: Solve for x
   x = 1,285.89/26.16
6. Step 6: Final answer
   x = 49.16