Finding the Third Proportional to 37,578 and 57,785

Step by Step Solution

1. Step 1: Write the proportion equation
   37,578 : 57,785 = 57,785 : x
2. Step 2: Convert to fraction form
   37,578/57,785 = 57,785/x
3. Step 3: Cross multiply
   37,578x = 57,785 × 57,785
4. Step 4: Simplify right side
   37,578x = 3,339,106,225
5. Step 5: Solve for x
   x = 3,339,106,225/37,578
6. Step 6: Final answer
   x = 88,858.01