Finding the Third Proportional to 24.84 and 53.86

Step by Step Solution

1. Step 1: Write the proportion equation
   24.84 : 53.86 = 53.86 : x
2. Step 2: Convert to fraction form
   24.84/53.86 = 53.86/x
3. Step 3: Cross multiply
   24.84x = 53.86 × 53.86
4. Step 4: Simplify right side
   24.84x = 2,900.83
5. Step 5: Solve for x
   x = 2,900.83/24.84
6. Step 6: Final answer
   x = 116.76