Finding the Third Proportional to 37,434 and 82,044

Step by Step Solution

1. Step 1: Write the proportion equation
   37,434 : 82,044 = 82,044 : x
2. Step 2: Convert to fraction form
   37,434/82,044 = 82,044/x
3. Step 3: Cross multiply
   37,434x = 82,044 × 82,044
4. Step 4: Simplify right side
   37,434x = 6,731,217,936
5. Step 5: Solve for x
   x = 6,731,217,936/37,434
6. Step 6: Final answer
   x = 179,815.62