Finding the Third Proportional to 1,581.08 and 3,469.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,581.08 : 3,469.71 = 3,469.71 : x
2. Step 2: Convert to fraction form
   1,581.08/3,469.71 = 3,469.71/x
3. Step 3: Cross multiply
   1,581.08x = 3,469.71 × 3,469.71
4. Step 4: Simplify right side
   1,581.08x = 12,038,893.99
5. Step 5: Solve for x
   x = 12,038,893.99/1,581.08
6. Step 6: Final answer
   x = 7,614.34