Finding the Third Proportional to 9,004 and 17,672

Step by Step Solution

1. Step 1: Write the proportion equation
   9,004 : 17,672 = 17,672 : x
2. Step 2: Convert to fraction form
   9,004/17,672 = 17,672/x
3. Step 3: Cross multiply
   9,004x = 17,672 × 17,672
4. Step 4: Simplify right side
   9,004x = 312,299,584
5. Step 5: Solve for x
   x = 312,299,584/9,004
6. Step 6: Final answer
   x = 34,684.54