Finding the Third Proportional to 37,624 and 50,356

Step by Step Solution

1. Step 1: Write the proportion equation
   37,624 : 50,356 = 50,356 : x
2. Step 2: Convert to fraction form
   37,624/50,356 = 50,356/x
3. Step 3: Cross multiply
   37,624x = 50,356 × 50,356
4. Step 4: Simplify right side
   37,624x = 2,535,726,736
5. Step 5: Solve for x
   x = 2,535,726,736/37,624
6. Step 6: Final answer
   x = 67,396.52