Finding the Third Proportional to 10,314 and 16,591

Step by Step Solution

1. Step 1: Write the proportion equation
   10,314 : 16,591 = 16,591 : x
2. Step 2: Convert to fraction form
   10,314/16,591 = 16,591/x
3. Step 3: Cross multiply
   10,314x = 16,591 × 16,591
4. Step 4: Simplify right side
   10,314x = 275,261,281
5. Step 5: Solve for x
   x = 275,261,281/10,314
6. Step 6: Final answer
   x = 26,688.12