Finding the Third Proportional to 13,080 and 17,406

Step by Step Solution

1. Step 1: Write the proportion equation
   13,080 : 17,406 = 17,406 : x
2. Step 2: Convert to fraction form
   13,080/17,406 = 17,406/x
3. Step 3: Cross multiply
   13,080x = 17,406 × 17,406
4. Step 4: Simplify right side
   13,080x = 302,968,836
5. Step 5: Solve for x
   x = 302,968,836/13,080
6. Step 6: Final answer
   x = 23,162.76