Finding the Third Proportional to 10,809 and 12,591

Step by Step Solution

1. Step 1: Write the proportion equation
   10,809 : 12,591 = 12,591 : x
2. Step 2: Convert to fraction form
   10,809/12,591 = 12,591/x
3. Step 3: Cross multiply
   10,809x = 12,591 × 12,591
4. Step 4: Simplify right side
   10,809x = 158,533,281
5. Step 5: Solve for x
   x = 158,533,281/10,809
6. Step 6: Final answer
   x = 14,666.79