Finding the Third Proportional to 10,327.50 and 14,370.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,327.50 : 14,370.75 = 14,370.75 : x
2. Step 2: Convert to fraction form
   10,327.50/14,370.75 = 14,370.75/x
3. Step 3: Cross multiply
   10,327.50x = 14,370.75 × 14,370.75
4. Step 4: Simplify right side
   10,327.50x = 206,518,455.56
5. Step 5: Solve for x
   x = 206,518,455.56/10,327.50
6. Step 6: Final answer
   x = 19,996.95