Finding the Third Proportional to 37,744 and 82,038

Step by Step Solution

1. Step 1: Write the proportion equation
   37,744 : 82,038 = 82,038 : x
2. Step 2: Convert to fraction form
   37,744/82,038 = 82,038/x
3. Step 3: Cross multiply
   37,744x = 82,038 × 82,038
4. Step 4: Simplify right side
   37,744x = 6,730,233,444
5. Step 5: Solve for x
   x = 6,730,233,444/37,744
6. Step 6: Final answer
   x = 178,312.67