Finding the Third Proportional to 582.56 and 901.69

Step by Step Solution

1. Step 1: Write the proportion equation
   582.56 : 901.69 = 901.69 : x
2. Step 2: Convert to fraction form
   582.56/901.69 = 901.69/x
3. Step 3: Cross multiply
   582.56x = 901.69 × 901.69
4. Step 4: Simplify right side
   582.56x = 813,040.35
5. Step 5: Solve for x
   x = 813,040.35/582.56
6. Step 6: Final answer
   x = 1,395.63