Finding the Third Proportional to 37,084 and 76,628

Step by Step Solution

1. Step 1: Write the proportion equation
   37,084 : 76,628 = 76,628 : x
2. Step 2: Convert to fraction form
   37,084/76,628 = 76,628/x
3. Step 3: Cross multiply
   37,084x = 76,628 × 76,628
4. Step 4: Simplify right side
   37,084x = 5,871,850,384
5. Step 5: Solve for x
   x = 5,871,850,384/37,084
6. Step 6: Final answer
   x = 158,339.19