Finding the Third Proportional to 10,199 and 22,404

Step by Step Solution

1. Step 1: Write the proportion equation
   10,199 : 22,404 = 22,404 : x
2. Step 2: Convert to fraction form
   10,199/22,404 = 22,404/x
3. Step 3: Cross multiply
   10,199x = 22,404 × 22,404
4. Step 4: Simplify right side
   10,199x = 501,939,216
5. Step 5: Solve for x
   x = 501,939,216/10,199
6. Step 6: Final answer
   x = 49,214.55