Finding the Third Proportional to 24,864 and 54,100.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,864 : 54,100.50 = 54,100.50 : x
2. Step 2: Convert to fraction form
   24,864/54,100.50 = 54,100.50/x
3. Step 3: Cross multiply
   24,864x = 54,100.50 × 54,100.50
4. Step 4: Simplify right side
   24,864x = 2,926,864,100.25
5. Step 5: Solve for x
   x = 2,926,864,100.25/24,864
6. Step 6: Final answer
   x = 117,714.93