Finding the Third Proportional to 37,734 and 77,356

Step by Step Solution

1. Step 1: Write the proportion equation
   37,734 : 77,356 = 77,356 : x
2. Step 2: Convert to fraction form
   37,734/77,356 = 77,356/x
3. Step 3: Cross multiply
   37,734x = 77,356 × 77,356
4. Step 4: Simplify right side
   37,734x = 5,983,950,736
5. Step 5: Solve for x
   x = 5,983,950,736/37,734
6. Step 6: Final answer
   x = 158,582.47