Finding the Third Proportional to 10,501.50 and 20,233.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,501.50 : 20,233.25 = 20,233.25 : x
2. Step 2: Convert to fraction form
   10,501.50/20,233.25 = 20,233.25/x
3. Step 3: Cross multiply
   10,501.50x = 20,233.25 × 20,233.25
4. Step 4: Simplify right side
   10,501.50x = 409,384,405.56
5. Step 5: Solve for x
   x = 409,384,405.56/10,501.50
6. Step 6: Final answer
   x = 38,983.42