Finding the Third Proportional to 52.50 and 105.38

Step by Step Solution

1. Step 1: Write the proportion equation
   52.50 : 105.38 = 105.38 : x
2. Step 2: Convert to fraction form
   52.50/105.38 = 105.38/x
3. Step 3: Cross multiply
   52.50x = 105.38 × 105.38
4. Step 4: Simplify right side
   52.50x = 11,103.89
5. Step 5: Solve for x
   x = 11,103.89/52.50
6. Step 6: Final answer
   x = 211.50