Finding the Third Proportional to 10,363.50 and 22,205.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,363.50 : 22,205.81 = 22,205.81 : x
2. Step 2: Convert to fraction form
   10,363.50/22,205.81 = 22,205.81/x
3. Step 3: Cross multiply
   10,363.50x = 22,205.81 × 22,205.81
4. Step 4: Simplify right side
   10,363.50x = 493,098,108.79
5. Step 5: Solve for x
   x = 493,098,108.79/10,363.50
6. Step 6: Final answer
   x = 47,580.27