Finding the Third Proportional to 51.89 and 115.17

Step by Step Solution

1. Step 1: Write the proportion equation
   51.89 : 115.17 = 115.17 : x
2. Step 2: Convert to fraction form
   51.89/115.17 = 115.17/x
3. Step 3: Cross multiply
   51.89x = 115.17 × 115.17
4. Step 4: Simplify right side
   51.89x = 13,264.56
5. Step 5: Solve for x
   x = 13,264.56/51.89
6. Step 6: Final answer
   x = 255.63