Finding the Third Proportional to 36,828 and 57,156

Step by Step Solution

1. Step 1: Write the proportion equation
   36,828 : 57,156 = 57,156 : x
2. Step 2: Convert to fraction form
   36,828/57,156 = 57,156/x
3. Step 3: Cross multiply
   36,828x = 57,156 × 57,156
4. Step 4: Simplify right side
   36,828x = 3,266,808,336
5. Step 5: Solve for x
   x = 3,266,808,336/36,828
6. Step 6: Final answer
   x = 88,704.47