Finding the Third Proportional to 1,753.50 and 3,684.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,753.50 : 3,684.75 = 3,684.75 : x
2. Step 2: Convert to fraction form
   1,753.50/3,684.75 = 3,684.75/x
3. Step 3: Cross multiply
   1,753.50x = 3,684.75 × 3,684.75
4. Step 4: Simplify right side
   1,753.50x = 13,577,382.56
5. Step 5: Solve for x
   x = 13,577,382.56/1,753.50
6. Step 6: Final answer
   x = 7,743.02