Finding the Third Proportional to 12,740 and 17,206

Step by Step Solution

1. Step 1: Write the proportion equation
   12,740 : 17,206 = 17,206 : x
2. Step 2: Convert to fraction form
   12,740/17,206 = 17,206/x
3. Step 3: Cross multiply
   12,740x = 17,206 × 17,206
4. Step 4: Simplify right side
   12,740x = 296,046,436
5. Step 5: Solve for x
   x = 296,046,436/12,740
6. Step 6: Final answer
   x = 23,237.55