Finding the Third Proportional to 9,702 and 16,345

Step by Step Solution

1. Step 1: Write the proportion equation
   9,702 : 16,345 = 16,345 : x
2. Step 2: Convert to fraction form
   9,702/16,345 = 16,345/x
3. Step 3: Cross multiply
   9,702x = 16,345 × 16,345
4. Step 4: Simplify right side
   9,702x = 267,159,025
5. Step 5: Solve for x
   x = 267,159,025/9,702
6. Step 6: Final answer
   x = 27,536.49