Finding the Third Proportional to 37,302 and 57,844

Step by Step Solution

1. Step 1: Write the proportion equation
   37,302 : 57,844 = 57,844 : x
2. Step 2: Convert to fraction form
   37,302/57,844 = 57,844/x
3. Step 3: Cross multiply
   37,302x = 57,844 × 57,844
4. Step 4: Simplify right side
   37,302x = 3,345,928,336
5. Step 5: Solve for x
   x = 3,345,928,336/37,302
6. Step 6: Final answer
   x = 89,698.36