Finding the Third Proportional to 37,224 and 76,422

Step by Step Solution

1. Step 1: Write the proportion equation
   37,224 : 76,422 = 76,422 : x
2. Step 2: Convert to fraction form
   37,224/76,422 = 76,422/x
3. Step 3: Cross multiply
   37,224x = 76,422 × 76,422
4. Step 4: Simplify right side
   37,224x = 5,840,322,084
5. Step 5: Solve for x
   x = 5,840,322,084/37,224
6. Step 6: Final answer
   x = 156,896.68