Finding the Third Proportional to 24.61 and 53.58

Step by Step Solution

1. Step 1: Write the proportion equation
   24.61 : 53.58 = 53.58 : x
2. Step 2: Convert to fraction form
   24.61/53.58 = 53.58/x
3. Step 3: Cross multiply
   24.61x = 53.58 × 53.58
4. Step 4: Simplify right side
   24.61x = 2,870.62
5. Step 5: Solve for x
   x = 2,870.62/24.61
6. Step 6: Final answer
   x = 116.65