Finding the Third Proportional to 11,947 and 17,457

Step by Step Solution

1. Step 1: Write the proportion equation
   11,947 : 17,457 = 17,457 : x
2. Step 2: Convert to fraction form
   11,947/17,457 = 17,457/x
3. Step 3: Cross multiply
   11,947x = 17,457 × 17,457
4. Step 4: Simplify right side
   11,947x = 304,746,849
5. Step 5: Solve for x
   x = 304,746,849/11,947
6. Step 6: Final answer
   x = 25,508.23