Finding the Third Proportional to 10,494.50 and 14,671.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494.50 : 14,671.75 = 14,671.75 : x
2. Step 2: Convert to fraction form
   10,494.50/14,671.75 = 14,671.75/x
3. Step 3: Cross multiply
   10,494.50x = 14,671.75 × 14,671.75
4. Step 4: Simplify right side
   10,494.50x = 215,260,248.06
5. Step 5: Solve for x
   x = 215,260,248.06/10,494.50
6. Step 6: Final answer
   x = 20,511.72