Finding the Third Proportional to 37,678 and 57,002

Step by Step Solution

1. Step 1: Write the proportion equation
   37,678 : 57,002 = 57,002 : x
2. Step 2: Convert to fraction form
   37,678/57,002 = 57,002/x
3. Step 3: Cross multiply
   37,678x = 57,002 × 57,002
4. Step 4: Simplify right side
   37,678x = 3,249,228,004
5. Step 5: Solve for x
   x = 3,249,228,004/37,678
6. Step 6: Final answer
   x = 86,236.74