Finding the Third Proportional to 37,224 and 76,419

Step by Step Solution

1. Step 1: Write the proportion equation
   37,224 : 76,419 = 76,419 : x
2. Step 2: Convert to fraction form
   37,224/76,419 = 76,419/x
3. Step 3: Cross multiply
   37,224x = 76,419 × 76,419
4. Step 4: Simplify right side
   37,224x = 5,839,863,561
5. Step 5: Solve for x
   x = 5,839,863,561/37,224
6. Step 6: Final answer
   x = 156,884.36