Finding the Third Proportional to 52.50 and 108.38

Step by Step Solution

1. Step 1: Write the proportion equation
   52.50 : 108.38 = 108.38 : x
2. Step 2: Convert to fraction form
   52.50/108.38 = 108.38/x
3. Step 3: Cross multiply
   52.50x = 108.38 × 108.38
4. Step 4: Simplify right side
   52.50x = 11,745.14
5. Step 5: Solve for x
   x = 11,745.14/52.50
6. Step 6: Final answer
   x = 223.72