Finding the Third Proportional to 1,680 and 3,673.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,680 : 3,673.50 = 3,673.50 : x
2. Step 2: Convert to fraction form
   1,680/3,673.50 = 3,673.50/x
3. Step 3: Cross multiply
   1,680x = 3,673.50 × 3,673.50
4. Step 4: Simplify right side
   1,680x = 13,494,602.25
5. Step 5: Solve for x
   x = 13,494,602.25/1,680
6. Step 6: Final answer
   x = 8,032.50