Finding the Third Proportional to 1,684 and 3,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,684 : 3,666.50 = 3,666.50 : x
2. Step 2: Convert to fraction form
   1,684/3,666.50 = 3,666.50/x
3. Step 3: Cross multiply
   1,684x = 3,666.50 × 3,666.50
4. Step 4: Simplify right side
   1,684x = 13,443,222.25
5. Step 5: Solve for x
   x = 13,443,222.25/1,684
6. Step 6: Final answer
   x = 7,982.91