Finding the Third Proportional to 13,240 and 17,974

Step by Step Solution

1. Step 1: Write the proportion equation
   13,240 : 17,974 = 17,974 : x
2. Step 2: Convert to fraction form
   13,240/17,974 = 17,974/x
3. Step 3: Cross multiply
   13,240x = 17,974 × 17,974
4. Step 4: Simplify right side
   13,240x = 323,064,676
5. Step 5: Solve for x
   x = 323,064,676/13,240
6. Step 6: Final answer
   x = 24,400.66