Finding the Third Proportional to 10,378.50 and 14,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378.50 : 14,827.50 = 14,827.50 : x
2. Step 2: Convert to fraction form
   10,378.50/14,827.50 = 14,827.50/x
3. Step 3: Cross multiply
   10,378.50x = 14,827.50 × 14,827.50
4. Step 4: Simplify right side
   10,378.50x = 219,854,756.25
5. Step 5: Solve for x
   x = 219,854,756.25/10,378.50
6. Step 6: Final answer
   x = 21,183.67