Finding the Third Proportional to 36,196 and 57,578

Step by Step Solution

1. Step 1: Write the proportion equation
   36,196 : 57,578 = 57,578 : x
2. Step 2: Convert to fraction form
   36,196/57,578 = 57,578/x
3. Step 3: Cross multiply
   36,196x = 57,578 × 57,578
4. Step 4: Simplify right side
   36,196x = 3,315,226,084
5. Step 5: Solve for x
   x = 3,315,226,084/36,196
6. Step 6: Final answer
   x = 91,590.95