Finding the Third Proportional to 25,920 and 54,508.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,920 : 54,508.50 = 54,508.50 : x
2. Step 2: Convert to fraction form
   25,920/54,508.50 = 54,508.50/x
3. Step 3: Cross multiply
   25,920x = 54,508.50 × 54,508.50
4. Step 4: Simplify right side
   25,920x = 2,971,176,572.25
5. Step 5: Solve for x
   x = 2,971,176,572.25/25,920
6. Step 6: Final answer
   x = 114,628.73