Finding the Third Proportional to 7,949.25 and 17,264.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,949.25 : 17,264.25 = 17,264.25 : x
2. Step 2: Convert to fraction form
   7,949.25/17,264.25 = 17,264.25/x
3. Step 3: Cross multiply
   7,949.25x = 17,264.25 × 17,264.25
4. Step 4: Simplify right side
   7,949.25x = 298,054,328.06
5. Step 5: Solve for x
   x = 298,054,328.06/7,949.25
6. Step 6: Final answer
   x = 37,494.65