Finding the Third Proportional to 5,827.50 and 7,683.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,827.50 : 7,683.75 = 7,683.75 : x
2. Step 2: Convert to fraction form
   5,827.50/7,683.75 = 7,683.75/x
3. Step 3: Cross multiply
   5,827.50x = 7,683.75 × 7,683.75
4. Step 4: Simplify right side
   5,827.50x = 59,040,014.06
5. Step 5: Solve for x
   x = 59,040,014.06/5,827.50
6. Step 6: Final answer
   x = 10,131.28