Finding the Third Proportional to 52.86 and 105.72

Step by Step Solution

1. Step 1: Write the proportion equation
   52.86 : 105.72 = 105.72 : x
2. Step 2: Convert to fraction form
   52.86/105.72 = 105.72/x
3. Step 3: Cross multiply
   52.86x = 105.72 × 105.72
4. Step 4: Simplify right side
   52.86x = 11,176.56
5. Step 5: Solve for x
   x = 11,176.56/52.86
6. Step 6: Final answer
   x = 211.44