Finding the Third Proportional to 37,541 and 82,642

Step by Step Solution

1. Step 1: Write the proportion equation
   37,541 : 82,642 = 82,642 : x
2. Step 2: Convert to fraction form
   37,541/82,642 = 82,642/x
3. Step 3: Cross multiply
   37,541x = 82,642 × 82,642
4. Step 4: Simplify right side
   37,541x = 6,829,700,164
5. Step 5: Solve for x
   x = 6,829,700,164/37,541
6. Step 6: Final answer
   x = 181,926.43