Finding the Third Proportional to 10,408 and 16,076

Step by Step Solution

1. Step 1: Write the proportion equation
   10,408 : 16,076 = 16,076 : x
2. Step 2: Convert to fraction form
   10,408/16,076 = 16,076/x
3. Step 3: Cross multiply
   10,408x = 16,076 × 16,076
4. Step 4: Simplify right side
   10,408x = 258,437,776
5. Step 5: Solve for x
   x = 258,437,776/10,408
6. Step 6: Final answer
   x = 24,830.69