Finding the Third Proportional to 11,802 and 17,679

Step by Step Solution

1. Step 1: Write the proportion equation
   11,802 : 17,679 = 17,679 : x
2. Step 2: Convert to fraction form
   11,802/17,679 = 17,679/x
3. Step 3: Cross multiply
   11,802x = 17,679 × 17,679
4. Step 4: Simplify right side
   11,802x = 312,547,041
5. Step 5: Solve for x
   x = 312,547,041/11,802
6. Step 6: Final answer
   x = 26,482.55