Finding the Third Proportional to 11,250 and 17,264.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,250 : 17,264.25 = 17,264.25 : x
2. Step 2: Convert to fraction form
   11,250/17,264.25 = 17,264.25/x
3. Step 3: Cross multiply
   11,250x = 17,264.25 × 17,264.25
4. Step 4: Simplify right side
   11,250x = 298,054,328.06
5. Step 5: Solve for x
   x = 298,054,328.06/11,250
6. Step 6: Final answer
   x = 26,493.72