Finding the Third Proportional to 25,184.25 and 54,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,184.25 : 54,742.50 = 54,742.50 : x
2. Step 2: Convert to fraction form
   25,184.25/54,742.50 = 54,742.50/x
3. Step 3: Cross multiply
   25,184.25x = 54,742.50 × 54,742.50
4. Step 4: Simplify right side
   25,184.25x = 2,996,741,306.25
5. Step 5: Solve for x
   x = 2,996,741,306.25/25,184.25
6. Step 6: Final answer
   x = 118,992.68