Finding the Third Proportional to 1,581.75 and 2,363.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,581.75 : 2,363.91 = 2,363.91 : x
2. Step 2: Convert to fraction form
   1,581.75/2,363.91 = 2,363.91/x
3. Step 3: Cross multiply
   1,581.75x = 2,363.91 × 2,363.91
4. Step 4: Simplify right side
   1,581.75x = 5,588,052.76
5. Step 5: Solve for x
   x = 5,588,052.76/1,581.75
6. Step 6: Final answer
   x = 3,532.83