Finding the Third Proportional to 5,872.50 and 7,828.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,872.50 : 7,828.75 = 7,828.75 : x
2. Step 2: Convert to fraction form
   5,872.50/7,828.75 = 7,828.75/x
3. Step 3: Cross multiply
   5,872.50x = 7,828.75 × 7,828.75
4. Step 4: Simplify right side
   5,872.50x = 61,289,326.56
5. Step 5: Solve for x
   x = 61,289,326.56/5,872.50
6. Step 6: Final answer
   x = 10,436.67