Finding the Third Proportional to 10,407 and 22,521

Step by Step Solution

1. Step 1: Write the proportion equation
   10,407 : 22,521 = 22,521 : x
2. Step 2: Convert to fraction form
   10,407/22,521 = 22,521/x
3. Step 3: Cross multiply
   10,407x = 22,521 × 22,521
4. Step 4: Simplify right side
   10,407x = 507,195,441
5. Step 5: Solve for x
   x = 507,195,441/10,407
6. Step 6: Final answer
   x = 48,735.99