Finding the Third Proportional to 37,568 and 54,588

Step by Step Solution

1. Step 1: Write the proportion equation
   37,568 : 54,588 = 54,588 : x
2. Step 2: Convert to fraction form
   37,568/54,588 = 54,588/x
3. Step 3: Cross multiply
   37,568x = 54,588 × 54,588
4. Step 4: Simplify right side
   37,568x = 2,979,849,744
5. Step 5: Solve for x
   x = 2,979,849,744/37,568
6. Step 6: Final answer
   x = 79,318.83