Finding the Third Proportional to 1,580.77 and 3,476.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,580.77 : 3,476.04 = 3,476.04 : x
2. Step 2: Convert to fraction form
   1,580.77/3,476.04 = 3,476.04/x
3. Step 3: Cross multiply
   1,580.77x = 3,476.04 × 3,476.04
4. Step 4: Simplify right side
   1,580.77x = 12,082,847.56
5. Step 5: Solve for x
   x = 12,082,847.56/1,580.77
6. Step 6: Final answer
   x = 7,643.67