Finding the Third Proportional to 12,906 and 17,415

Step by Step Solution

1. Step 1: Write the proportion equation
   12,906 : 17,415 = 17,415 : x
2. Step 2: Convert to fraction form
   12,906/17,415 = 17,415/x
3. Step 3: Cross multiply
   12,906x = 17,415 × 17,415
4. Step 4: Simplify right side
   12,906x = 303,282,225
5. Step 5: Solve for x
   x = 303,282,225/12,906
6. Step 6: Final answer
   x = 23,499.32