Finding the Third Proportional to 3,747 and 5,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,747 : 5,827.50 = 5,827.50 : x
2. Step 2: Convert to fraction form
   3,747/5,827.50 = 5,827.50/x
3. Step 3: Cross multiply
   3,747x = 5,827.50 × 5,827.50
4. Step 4: Simplify right side
   3,747x = 33,959,756.25
5. Step 5: Solve for x
   x = 33,959,756.25/3,747
6. Step 6: Final answer
   x = 9,063.19