Finding the Third Proportional to 4,200.75 and 5,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,200.75 : 5,827.50 = 5,827.50 : x
2. Step 2: Convert to fraction form
   4,200.75/5,827.50 = 5,827.50/x
3. Step 3: Cross multiply
   4,200.75x = 5,827.50 × 5,827.50
4. Step 4: Simplify right side
   4,200.75x = 33,959,756.25
5. Step 5: Solve for x
   x = 33,959,756.25/4,200.75
6. Step 6: Final answer
   x = 8,084.21