Finding the Third Proportional to 10.69 and 26.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10.69 : 26.50 = 26.50 : x
2. Step 2: Convert to fraction form
   10.69/26.50 = 26.50/x
3. Step 3: Cross multiply
   10.69x = 26.50 × 26.50
4. Step 4: Simplify right side
   10.69x = 702.25
5. Step 5: Solve for x
   x = 702.25/10.69
6. Step 6: Final answer
   x = 65.71