Finding the Third Proportional to 7,796.25 and 12,251.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,796.25 : 12,251.25 = 12,251.25 : x
2. Step 2: Convert to fraction form
   7,796.25/12,251.25 = 12,251.25/x
3. Step 3: Cross multiply
   7,796.25x = 12,251.25 × 12,251.25
4. Step 4: Simplify right side
   7,796.25x = 150,093,126.56
5. Step 5: Solve for x
   x = 150,093,126.56/7,796.25
6. Step 6: Final answer
   x = 19,251.96