Finding the Third Proportional to 1,680 and 2,446.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,680 : 2,446.50 = 2,446.50 : x
2. Step 2: Convert to fraction form
   1,680/2,446.50 = 2,446.50/x
3. Step 3: Cross multiply
   1,680x = 2,446.50 × 2,446.50
4. Step 4: Simplify right side
   1,680x = 5,985,362.25
5. Step 5: Solve for x
   x = 5,985,362.25/1,680
6. Step 6: Final answer
   x = 3,562.72