Finding the Third Proportional to 10,271 and 22,408

Step by Step Solution

1. Step 1: Write the proportion equation
   10,271 : 22,408 = 22,408 : x
2. Step 2: Convert to fraction form
   10,271/22,408 = 22,408/x
3. Step 3: Cross multiply
   10,271x = 22,408 × 22,408
4. Step 4: Simplify right side
   10,271x = 502,118,464
5. Step 5: Solve for x
   x = 502,118,464/10,271
6. Step 6: Final answer
   x = 48,887.01