Finding the Third Proportional to 37,676 and 57,000

Step by Step Solution

1. Step 1: Write the proportion equation
   37,676 : 57,000 = 57,000 : x
2. Step 2: Convert to fraction form
   37,676/57,000 = 57,000/x
3. Step 3: Cross multiply
   37,676x = 57,000 × 57,000
4. Step 4: Simplify right side
   37,676x = 3,249,000,000
5. Step 5: Solve for x
   x = 3,249,000,000/37,676
6. Step 6: Final answer
   x = 86,235.27