Finding the Third Proportional to 1,747 and 3,636.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,747 : 3,636.50 = 3,636.50 : x
2. Step 2: Convert to fraction form
   1,747/3,636.50 = 3,636.50/x
3. Step 3: Cross multiply
   1,747x = 3,636.50 × 3,636.50
4. Step 4: Simplify right side
   1,747x = 13,224,132.25
5. Step 5: Solve for x
   x = 13,224,132.25/1,747
6. Step 6: Final answer
   x = 7,569.62