Finding the Third Proportional to 6,908.50 and 16,002

Step by Step Solution

1. Step 1: Write the proportion equation
   6,908.50 : 16,002 = 16,002 : x
2. Step 2: Convert to fraction form
   6,908.50/16,002 = 16,002/x
3. Step 3: Cross multiply
   6,908.50x = 16,002 × 16,002
4. Step 4: Simplify right side
   6,908.50x = 256,064,004
5. Step 5: Solve for x
   x = 256,064,004/6,908.50
6. Step 6: Final answer
   x = 37,065.07