Finding the Third Proportional to 587.25 and 1,313.72

Step by Step Solution

1. Step 1: Write the proportion equation
   587.25 : 1,313.72 = 1,313.72 : x
2. Step 2: Convert to fraction form
   587.25/1,313.72 = 1,313.72/x
3. Step 3: Cross multiply
   587.25x = 1,313.72 × 1,313.72
4. Step 4: Simplify right side
   587.25x = 1,725,856.95
5. Step 5: Solve for x
   x = 1,725,856.95/587.25
6. Step 6: Final answer
   x = 2,938.88