Finding the Third Proportional to 1,665.40 and 3,666.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.40 : 3,666.04 = 3,666.04 : x
2. Step 2: Convert to fraction form
   1,665.40/3,666.04 = 3,666.04/x
3. Step 3: Cross multiply
   1,665.40x = 3,666.04 × 3,666.04
4. Step 4: Simplify right side
   1,665.40x = 13,439,856.73
5. Step 5: Solve for x
   x = 13,439,856.73/1,665.40
6. Step 6: Final answer
   x = 8,070.03