Finding the Third Proportional to 37,291 and 57,612

Step by Step Solution

1. Step 1: Write the proportion equation
   37,291 : 57,612 = 57,612 : x
2. Step 2: Convert to fraction form
   37,291/57,612 = 57,612/x
3. Step 3: Cross multiply
   37,291x = 57,612 × 57,612
4. Step 4: Simplify right side
   37,291x = 3,319,142,544
5. Step 5: Solve for x
   x = 3,319,142,544/37,291
6. Step 6: Final answer
   x = 89,006.53