Finding the Third Proportional to 37,674 and 57,789

Step by Step Solution

1. Step 1: Write the proportion equation
   37,674 : 57,789 = 57,789 : x
2. Step 2: Convert to fraction form
   37,674/57,789 = 57,789/x
3. Step 3: Cross multiply
   37,674x = 57,789 × 57,789
4. Step 4: Simplify right side
   37,674x = 3,339,568,521
5. Step 5: Solve for x
   x = 3,339,568,521/37,674
6. Step 6: Final answer
   x = 88,643.85