Finding the Third Proportional to 3,684 and 5,386.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,684 : 5,386.50 = 5,386.50 : x
2. Step 2: Convert to fraction form
   3,684/5,386.50 = 5,386.50/x
3. Step 3: Cross multiply
   3,684x = 5,386.50 × 5,386.50
4. Step 4: Simplify right side
   3,684x = 29,014,382.25
5. Step 5: Solve for x
   x = 29,014,382.25/3,684
6. Step 6: Final answer
   x = 7,875.78