Finding the Third Proportional to 37,856 and 57,702

Step by Step Solution

1. Step 1: Write the proportion equation
   37,856 : 57,702 = 57,702 : x
2. Step 2: Convert to fraction form
   37,856/57,702 = 57,702/x
3. Step 3: Cross multiply
   37,856x = 57,702 × 57,702
4. Step 4: Simplify right side
   37,856x = 3,329,520,804
5. Step 5: Solve for x
   x = 3,329,520,804/37,856
6. Step 6: Final answer
   x = 87,952.26