Finding the Third Proportional to 16,911 and 25,269

Step by Step Solution

1. Step 1: Write the proportion equation
   16,911 : 25,269 = 25,269 : x
2. Step 2: Convert to fraction form
   16,911/25,269 = 25,269/x
3. Step 3: Cross multiply
   16,911x = 25,269 × 25,269
4. Step 4: Simplify right side
   16,911x = 638,522,361
5. Step 5: Solve for x
   x = 638,522,361/16,911
6. Step 6: Final answer
   x = 37,757.81