Finding the Third Proportional to 37,846 and 57,295

Step by Step Solution

1. Step 1: Write the proportion equation
   37,846 : 57,295 = 57,295 : x
2. Step 2: Convert to fraction form
   37,846/57,295 = 57,295/x
3. Step 3: Cross multiply
   37,846x = 57,295 × 57,295
4. Step 4: Simplify right side
   37,846x = 3,282,717,025
5. Step 5: Solve for x
   x = 3,282,717,025/37,846
6. Step 6: Final answer
   x = 86,738.81