Finding the Third Proportional to 9,302 and 12,809

Step by Step Solution

1. Step 1: Write the proportion equation
   9,302 : 12,809 = 12,809 : x
2. Step 2: Convert to fraction form
   9,302/12,809 = 12,809/x
3. Step 3: Cross multiply
   9,302x = 12,809 × 12,809
4. Step 4: Simplify right side
   9,302x = 164,070,481
5. Step 5: Solve for x
   x = 164,070,481/9,302
6. Step 6: Final answer
   x = 17,638.19