Finding the Third Proportional to 12,314 and 16,503

Step by Step Solution

1. Step 1: Write the proportion equation
   12,314 : 16,503 = 16,503 : x
2. Step 2: Convert to fraction form
   12,314/16,503 = 16,503/x
3. Step 3: Cross multiply
   12,314x = 16,503 × 16,503
4. Step 4: Simplify right side
   12,314x = 272,349,009
5. Step 5: Solve for x
   x = 272,349,009/12,314
6. Step 6: Final answer
   x = 22,117.02