Finding the Third Proportional to 37,820 and 81,422

Step by Step Solution

1. Step 1: Write the proportion equation
   37,820 : 81,422 = 81,422 : x
2. Step 2: Convert to fraction form
   37,820/81,422 = 81,422/x
3. Step 3: Cross multiply
   37,820x = 81,422 × 81,422
4. Step 4: Simplify right side
   37,820x = 6,629,542,084
5. Step 5: Solve for x
   x = 6,629,542,084/37,820
6. Step 6: Final answer
   x = 175,291.96