Finding the Third Proportional to 37,789 and 82,382

Step by Step Solution

1. Step 1: Write the proportion equation
   37,789 : 82,382 = 82,382 : x
2. Step 2: Convert to fraction form
   37,789/82,382 = 82,382/x
3. Step 3: Cross multiply
   37,789x = 82,382 × 82,382
4. Step 4: Simplify right side
   37,789x = 6,786,793,924
5. Step 5: Solve for x
   x = 6,786,793,924/37,789
6. Step 6: Final answer
   x = 179,597.08