Finding the Third Proportional to 10,408 and 22,832

Step by Step Solution

1. Step 1: Write the proportion equation
   10,408 : 22,832 = 22,832 : x
2. Step 2: Convert to fraction form
   10,408/22,832 = 22,832/x
3. Step 3: Cross multiply
   10,408x = 22,832 × 22,832
4. Step 4: Simplify right side
   10,408x = 521,300,224
5. Step 5: Solve for x
   x = 521,300,224/10,408
6. Step 6: Final answer
   x = 50,086.49