Finding the Third Proportional to 4,856.25 and 7,123.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,856.25 : 7,123.75 = 7,123.75 : x
2. Step 2: Convert to fraction form
   4,856.25/7,123.75 = 7,123.75/x
3. Step 3: Cross multiply
   4,856.25x = 7,123.75 × 7,123.75
4. Step 4: Simplify right side
   4,856.25x = 50,747,814.06
5. Step 5: Solve for x
   x = 50,747,814.06/4,856.25
6. Step 6: Final answer
   x = 10,450.00