Finding the Third Proportional to 37,514.25 and 82,638

Step by Step Solution

1. Step 1: Write the proportion equation
   37,514.25 : 82,638 = 82,638 : x
2. Step 2: Convert to fraction form
   37,514.25/82,638 = 82,638/x
3. Step 3: Cross multiply
   37,514.25x = 82,638 × 82,638
4. Step 4: Simplify right side
   37,514.25x = 6,829,039,044
5. Step 5: Solve for x
   x = 6,829,039,044/37,514.25
6. Step 6: Final answer
   x = 182,038.53