Finding the Third Proportional to 37,065 and 57,478

Step by Step Solution

1. Step 1: Write the proportion equation
   37,065 : 57,478 = 57,478 : x
2. Step 2: Convert to fraction form
   37,065/57,478 = 57,478/x
3. Step 3: Cross multiply
   37,065x = 57,478 × 57,478
4. Step 4: Simplify right side
   37,065x = 3,303,720,484
5. Step 5: Solve for x
   x = 3,303,720,484/37,065
6. Step 6: Final answer
   x = 89,133.16