Finding the Third Proportional to 37,463 and 80,434

Step by Step Solution

1. Step 1: Write the proportion equation
   37,463 : 80,434 = 80,434 : x
2. Step 2: Convert to fraction form
   37,463/80,434 = 80,434/x
3. Step 3: Cross multiply
   37,463x = 80,434 × 80,434
4. Step 4: Simplify right side
   37,463x = 6,469,628,356
5. Step 5: Solve for x
   x = 6,469,628,356/37,463
6. Step 6: Final answer
   x = 172,693.81