Finding the Third Proportional to 10,408 and 23,156

Step by Step Solution

1. Step 1: Write the proportion equation
   10,408 : 23,156 = 23,156 : x
2. Step 2: Convert to fraction form
   10,408/23,156 = 23,156/x
3. Step 3: Cross multiply
   10,408x = 23,156 × 23,156
4. Step 4: Simplify right side
   10,408x = 536,200,336
5. Step 5: Solve for x
   x = 536,200,336/10,408
6. Step 6: Final answer
   x = 51,518.10