Finding the Third Proportional to 25,164 and 54,175.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,164 : 54,175.50 = 54,175.50 : x
2. Step 2: Convert to fraction form
   25,164/54,175.50 = 54,175.50/x
3. Step 3: Cross multiply
   25,164x = 54,175.50 × 54,175.50
4. Step 4: Simplify right side
   25,164x = 2,934,984,800.25
5. Step 5: Solve for x
   x = 2,934,984,800.25/25,164
6. Step 6: Final answer
   x = 116,634.27