Finding the Third Proportional to 10,372.50 and 14,838.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,372.50 : 14,838.75 = 14,838.75 : x
2. Step 2: Convert to fraction form
   10,372.50/14,838.75 = 14,838.75/x
3. Step 3: Cross multiply
   10,372.50x = 14,838.75 × 14,838.75
4. Step 4: Simplify right side
   10,372.50x = 220,188,501.56
5. Step 5: Solve for x
   x = 220,188,501.56/10,372.50
6. Step 6: Final answer
   x = 21,228.10