Finding the Third Proportional to 37,890 and 57,311

Step by Step Solution

1. Step 1: Write the proportion equation
   37,890 : 57,311 = 57,311 : x
2. Step 2: Convert to fraction form
   37,890/57,311 = 57,311/x
3. Step 3: Cross multiply
   37,890x = 57,311 × 57,311
4. Step 4: Simplify right side
   37,890x = 3,284,550,721
5. Step 5: Solve for x
   x = 3,284,550,721/37,890
6. Step 6: Final answer
   x = 86,686.48