Finding the Third Proportional to 11,748 and 16,984

Step by Step Solution

1. Step 1: Write the proportion equation
   11,748 : 16,984 = 16,984 : x
2. Step 2: Convert to fraction form
   11,748/16,984 = 16,984/x
3. Step 3: Cross multiply
   11,748x = 16,984 × 16,984
4. Step 4: Simplify right side
   11,748x = 288,456,256
5. Step 5: Solve for x
   x = 288,456,256/11,748
6. Step 6: Final answer
   x = 24,553.65