Finding the Third Proportional to 37,894 and 57,367

Step by Step Solution

1. Step 1: Write the proportion equation
   37,894 : 57,367 = 57,367 : x
2. Step 2: Convert to fraction form
   37,894/57,367 = 57,367/x
3. Step 3: Cross multiply
   37,894x = 57,367 × 57,367
4. Step 4: Simplify right side
   37,894x = 3,290,972,689
5. Step 5: Solve for x
   x = 3,290,972,689/37,894
6. Step 6: Final answer
   x = 86,846.80