Finding the Third Proportional to 10,947.50 and 16,398.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,947.50 : 16,398.75 = 16,398.75 : x
2. Step 2: Convert to fraction form
   10,947.50/16,398.75 = 16,398.75/x
3. Step 3: Cross multiply
   10,947.50x = 16,398.75 × 16,398.75
4. Step 4: Simplify right side
   10,947.50x = 268,919,001.56
5. Step 5: Solve for x
   x = 268,919,001.56/10,947.50
6. Step 6: Final answer
   x = 24,564.42