Finding the Third Proportional to 9,632 and 16,984

Step by Step Solution

1. Step 1: Write the proportion equation
   9,632 : 16,984 = 16,984 : x
2. Step 2: Convert to fraction form
   9,632/16,984 = 16,984/x
3. Step 3: Cross multiply
   9,632x = 16,984 × 16,984
4. Step 4: Simplify right side
   9,632x = 288,456,256
5. Step 5: Solve for x
   x = 288,456,256/9,632
6. Step 6: Final answer
   x = 29,947.70