Finding the Third Proportional to 37,858 and 57,795

Step by Step Solution

1. Step 1: Write the proportion equation
   37,858 : 57,795 = 57,795 : x
2. Step 2: Convert to fraction form
   37,858/57,795 = 57,795/x
3. Step 3: Cross multiply
   37,858x = 57,795 × 57,795
4. Step 4: Simplify right side
   37,858x = 3,340,262,025
5. Step 5: Solve for x
   x = 3,340,262,025/37,858
6. Step 6: Final answer
   x = 88,231.34