Finding the Third Proportional to 9,702 and 13,005

Step by Step Solution

1. Step 1: Write the proportion equation
   9,702 : 13,005 = 13,005 : x
2. Step 2: Convert to fraction form
   9,702/13,005 = 13,005/x
3. Step 3: Cross multiply
   9,702x = 13,005 × 13,005
4. Step 4: Simplify right side
   9,702x = 169,130,025
5. Step 5: Solve for x
   x = 169,130,025/9,702
6. Step 6: Final answer
   x = 17,432.49