Finding the Third Proportional to 37,550 and 82,444

Step by Step Solution

1. Step 1: Write the proportion equation
   37,550 : 82,444 = 82,444 : x
2. Step 2: Convert to fraction form
   37,550/82,444 = 82,444/x
3. Step 3: Cross multiply
   37,550x = 82,444 × 82,444
4. Step 4: Simplify right side
   37,550x = 6,797,013,136
5. Step 5: Solve for x
   x = 6,797,013,136/37,550
6. Step 6: Final answer
   x = 181,012.33