Finding the Third Proportional to 8,002 and 17,461

Step by Step Solution

1. Step 1: Write the proportion equation
   8,002 : 17,461 = 17,461 : x
2. Step 2: Convert to fraction form
   8,002/17,461 = 17,461/x
3. Step 3: Cross multiply
   8,002x = 17,461 × 17,461
4. Step 4: Simplify right side
   8,002x = 304,886,521
5. Step 5: Solve for x
   x = 304,886,521/8,002
6. Step 6: Final answer
   x = 38,101.29