Finding the Third Proportional to 17,786 and 25,947

Step by Step Solution

1. Step 1: Write the proportion equation
   17,786 : 25,947 = 25,947 : x
2. Step 2: Convert to fraction form
   17,786/25,947 = 25,947/x
3. Step 3: Cross multiply
   17,786x = 25,947 × 25,947
4. Step 4: Simplify right side
   17,786x = 673,246,809
5. Step 5: Solve for x
   x = 673,246,809/17,786
6. Step 6: Final answer
   x = 37,852.63