Finding the Third Proportional to 37,536 and 62,568

Step by Step Solution

1. Step 1: Write the proportion equation
   37,536 : 62,568 = 62,568 : x
2. Step 2: Convert to fraction form
   37,536/62,568 = 62,568/x
3. Step 3: Cross multiply
   37,536x = 62,568 × 62,568
4. Step 4: Simplify right side
   37,536x = 3,914,754,624
5. Step 5: Solve for x
   x = 3,914,754,624/37,536
6. Step 6: Final answer
   x = 104,293.34