Finding the Third Proportional to 37,789 and 82,486

Step by Step Solution

1. Step 1: Write the proportion equation
   37,789 : 82,486 = 82,486 : x
2. Step 2: Convert to fraction form
   37,789/82,486 = 82,486/x
3. Step 3: Cross multiply
   37,789x = 82,486 × 82,486
4. Step 4: Simplify right side
   37,789x = 6,803,940,196
5. Step 5: Solve for x
   x = 6,803,940,196/37,789
6. Step 6: Final answer
   x = 180,050.81