Finding the Third Proportional to 13,374 and 17,838

Step by Step Solution

1. Step 1: Write the proportion equation
   13,374 : 17,838 = 17,838 : x
2. Step 2: Convert to fraction form
   13,374/17,838 = 17,838/x
3. Step 3: Cross multiply
   13,374x = 17,838 × 17,838
4. Step 4: Simplify right side
   13,374x = 318,194,244
5. Step 5: Solve for x
   x = 318,194,244/13,374
6. Step 6: Final answer
   x = 23,792.00