Finding the Third Proportional to 36,843 and 57,150

Step by Step Solution

1. Step 1: Write the proportion equation
   36,843 : 57,150 = 57,150 : x
2. Step 2: Convert to fraction form
   36,843/57,150 = 57,150/x
3. Step 3: Cross multiply
   36,843x = 57,150 × 57,150
4. Step 4: Simplify right side
   36,843x = 3,266,122,500
5. Step 5: Solve for x
   x = 3,266,122,500/36,843
6. Step 6: Final answer
   x = 88,649.74