Finding the Third Proportional to 37,289 and 57,609

Step by Step Solution

1. Step 1: Write the proportion equation
   37,289 : 57,609 = 57,609 : x
2. Step 2: Convert to fraction form
   37,289/57,609 = 57,609/x
3. Step 3: Cross multiply
   37,289x = 57,609 × 57,609
4. Step 4: Simplify right side
   37,289x = 3,318,796,881
5. Step 5: Solve for x
   x = 3,318,796,881/37,289
6. Step 6: Final answer
   x = 89,002.03