Finding the Third Proportional to 3,386.25 and 7,796.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,386.25 : 7,796.25 = 7,796.25 : x
2. Step 2: Convert to fraction form
   3,386.25/7,796.25 = 7,796.25/x
3. Step 3: Cross multiply
   3,386.25x = 7,796.25 × 7,796.25
4. Step 4: Simplify right side
   3,386.25x = 60,781,514.06
5. Step 5: Solve for x
   x = 60,781,514.06/3,386.25
6. Step 6: Final answer
   x = 17,949.51