Finding the Third Proportional to 24.38 and 53.05

Step by Step Solution

1. Step 1: Write the proportion equation
   24.38 : 53.05 = 53.05 : x
2. Step 2: Convert to fraction form
   24.38/53.05 = 53.05/x
3. Step 3: Cross multiply
   24.38x = 53.05 × 53.05
4. Step 4: Simplify right side
   24.38x = 2,814.39
5. Step 5: Solve for x
   x = 2,814.39/24.38
6. Step 6: Final answer
   x = 115.43