Finding the Third Proportional to 37,568 and 56,502

Step by Step Solution

1. Step 1: Write the proportion equation
   37,568 : 56,502 = 56,502 : x
2. Step 2: Convert to fraction form
   37,568/56,502 = 56,502/x
3. Step 3: Cross multiply
   37,568x = 56,502 × 56,502
4. Step 4: Simplify right side
   37,568x = 3,192,476,004
5. Step 5: Solve for x
   x = 3,192,476,004/37,568
6. Step 6: Final answer
   x = 84,978.60