Finding the Third Proportional to 37,882 and 82,674

Step by Step Solution

1. Step 1: Write the proportion equation
   37,882 : 82,674 = 82,674 : x
2. Step 2: Convert to fraction form
   37,882/82,674 = 82,674/x
3. Step 3: Cross multiply
   37,882x = 82,674 × 82,674
4. Step 4: Simplify right side
   37,882x = 6,834,990,276
5. Step 5: Solve for x
   x = 6,834,990,276/37,882
6. Step 6: Final answer
   x = 180,428.44