Finding the Third Proportional to 37,588 and 57,794

Step by Step Solution

1. Step 1: Write the proportion equation
   37,588 : 57,794 = 57,794 : x
2. Step 2: Convert to fraction form
   37,588/57,794 = 57,794/x
3. Step 3: Cross multiply
   37,588x = 57,794 × 57,794
4. Step 4: Simplify right side
   37,588x = 3,340,146,436
5. Step 5: Solve for x
   x = 3,340,146,436/37,588
6. Step 6: Final answer
   x = 88,862.04