Finding the Third Proportional to 12,846 and 17,347

Step by Step Solution

1. Step 1: Write the proportion equation
   12,846 : 17,347 = 17,347 : x
2. Step 2: Convert to fraction form
   12,846/17,347 = 17,347/x
3. Step 3: Cross multiply
   12,846x = 17,347 × 17,347
4. Step 4: Simplify right side
   12,846x = 300,918,409
5. Step 5: Solve for x
   x = 300,918,409/12,846
6. Step 6: Final answer
   x = 23,425.07