Finding the Third Proportional to 5,101.25 and 7,803.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,101.25 : 7,803.25 = 7,803.25 : x
2. Step 2: Convert to fraction form
   5,101.25/7,803.25 = 7,803.25/x
3. Step 3: Cross multiply
   5,101.25x = 7,803.25 × 7,803.25
4. Step 4: Simplify right side
   5,101.25x = 60,890,710.56
5. Step 5: Solve for x
   x = 60,890,710.56/5,101.25
6. Step 6: Final answer
   x = 11,936.43