Finding the Third Proportional to 38,228 and 57,916

Step by Step Solution

1. Step 1: Write the proportion equation
   38,228 : 57,916 = 57,916 : x
2. Step 2: Convert to fraction form
   38,228/57,916 = 57,916/x
3. Step 3: Cross multiply
   38,228x = 57,916 × 57,916
4. Step 4: Simplify right side
   38,228x = 3,354,263,056
5. Step 5: Solve for x
   x = 3,354,263,056/38,228
6. Step 6: Final answer
   x = 87,743.62