Finding the Third Proportional to 9,120 and 13,659

Step by Step Solution

1. Step 1: Write the proportion equation
   9,120 : 13,659 = 13,659 : x
2. Step 2: Convert to fraction form
   9,120/13,659 = 13,659/x
3. Step 3: Cross multiply
   9,120x = 13,659 × 13,659
4. Step 4: Simplify right side
   9,120x = 186,568,281
5. Step 5: Solve for x
   x = 186,568,281/9,120
6. Step 6: Final answer
   x = 20,457.05