Finding the Third Proportional to 23.67 and 52.61

Step by Step Solution

1. Step 1: Write the proportion equation
   23.67 : 52.61 = 52.61 : x
2. Step 2: Convert to fraction form
   23.67/52.61 = 52.61/x
3. Step 3: Cross multiply
   23.67x = 52.61 × 52.61
4. Step 4: Simplify right side
   23.67x = 2,767.78
5. Step 5: Solve for x
   x = 2,767.78/23.67
6. Step 6: Final answer
   x = 116.91