Finding the Third Proportional to 7,796.25 and 16,665.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,796.25 : 16,665.75 = 16,665.75 : x
2. Step 2: Convert to fraction form
   7,796.25/16,665.75 = 16,665.75/x
3. Step 3: Cross multiply
   7,796.25x = 16,665.75 × 16,665.75
4. Step 4: Simplify right side
   7,796.25x = 277,747,223.06
5. Step 5: Solve for x
   x = 277,747,223.06/7,796.25
6. Step 6: Final answer
   x = 35,625.75