Finding the Third Proportional to 37,568 and 52,768

Step by Step Solution

1. Step 1: Write the proportion equation
   37,568 : 52,768 = 52,768 : x
2. Step 2: Convert to fraction form
   37,568/52,768 = 52,768/x
3. Step 3: Cross multiply
   37,568x = 52,768 × 52,768
4. Step 4: Simplify right side
   37,568x = 2,784,461,824
5. Step 5: Solve for x
   x = 2,784,461,824/37,568
6. Step 6: Final answer
   x = 74,117.91