Finding the Third Proportional to 13,816 and 17,984

Step by Step Solution

1. Step 1: Write the proportion equation
   13,816 : 17,984 = 17,984 : x
2. Step 2: Convert to fraction form
   13,816/17,984 = 17,984/x
3. Step 3: Cross multiply
   13,816x = 17,984 × 17,984
4. Step 4: Simplify right side
   13,816x = 323,424,256
5. Step 5: Solve for x
   x = 323,424,256/13,816
6. Step 6: Final answer
   x = 23,409.40