Finding the Third Proportional to 8,004 and 17,385

Step by Step Solution

1. Step 1: Write the proportion equation
   8,004 : 17,385 = 17,385 : x
2. Step 2: Convert to fraction form
   8,004/17,385 = 17,385/x
3. Step 3: Cross multiply
   8,004x = 17,385 × 17,385
4. Step 4: Simplify right side
   8,004x = 302,238,225
5. Step 5: Solve for x
   x = 302,238,225/8,004
6. Step 6: Final answer
   x = 37,760.90