Finding the Third Proportional to 10,649.25 and 22,401.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,649.25 : 22,401.75 = 22,401.75 : x
2. Step 2: Convert to fraction form
   10,649.25/22,401.75 = 22,401.75/x
3. Step 3: Cross multiply
   10,649.25x = 22,401.75 × 22,401.75
4. Step 4: Simplify right side
   10,649.25x = 501,838,403.06
5. Step 5: Solve for x
   x = 501,838,403.06/10,649.25
6. Step 6: Final answer
   x = 47,124.30