Finding the Third Proportional to 587.91 and 942.56

Step by Step Solution

1. Step 1: Write the proportion equation
   587.91 : 942.56 = 942.56 : x
2. Step 2: Convert to fraction form
   587.91/942.56 = 942.56/x
3. Step 3: Cross multiply
   587.91x = 942.56 × 942.56
4. Step 4: Simplify right side
   587.91x = 888,424.07
5. Step 5: Solve for x
   x = 888,424.07/587.91
6. Step 6: Final answer
   x = 1,511.17