Finding the Third Proportional to 24.75 and 53.16

Step by Step Solution

1. Step 1: Write the proportion equation
   24.75 : 53.16 = 53.16 : x
2. Step 2: Convert to fraction form
   24.75/53.16 = 53.16/x
3. Step 3: Cross multiply
   24.75x = 53.16 × 53.16
4. Step 4: Simplify right side
   24.75x = 2,825.59
5. Step 5: Solve for x
   x = 2,825.59/24.75
6. Step 6: Final answer
   x = 114.17