Finding the Third Proportional to 11,426.25 and 17,657.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,426.25 : 17,657.25 = 17,657.25 : x
2. Step 2: Convert to fraction form
   11,426.25/17,657.25 = 17,657.25/x
3. Step 3: Cross multiply
   11,426.25x = 17,657.25 × 17,657.25
4. Step 4: Simplify right side
   11,426.25x = 311,778,477.56
5. Step 5: Solve for x
   x = 311,778,477.56/11,426.25
6. Step 6: Final answer
   x = 27,286.16