Finding the Third Proportional to 1,680.50 and 3,535

Step by Step Solution

1. Step 1: Write the proportion equation
   1,680.50 : 3,535 = 3,535 : x
2. Step 2: Convert to fraction form
   1,680.50/3,535 = 3,535/x
3. Step 3: Cross multiply
   1,680.50x = 3,535 × 3,535
4. Step 4: Simplify right side
   1,680.50x = 12,496,225
5. Step 5: Solve for x
   x = 12,496,225/1,680.50
6. Step 6: Final answer
   x = 7,436.02