Finding the Third Proportional to 24.94 and 53.06

Step by Step Solution

1. Step 1: Write the proportion equation
   24.94 : 53.06 = 53.06 : x
2. Step 2: Convert to fraction form
   24.94/53.06 = 53.06/x
3. Step 3: Cross multiply
   24.94x = 53.06 × 53.06
4. Step 4: Simplify right side
   24.94x = 2,815.63
5. Step 5: Solve for x
   x = 2,815.63/24.94
6. Step 6: Final answer
   x = 112.91