Finding the Third Proportional to 9,500 and 14,002

Step by Step Solution

1. Step 1: Write the proportion equation
   9,500 : 14,002 = 14,002 : x
2. Step 2: Convert to fraction form
   9,500/14,002 = 14,002/x
3. Step 3: Cross multiply
   9,500x = 14,002 × 14,002
4. Step 4: Simplify right side
   9,500x = 196,056,004
5. Step 5: Solve for x
   x = 196,056,004/9,500
6. Step 6: Final answer
   x = 20,637.47