Finding the Third Proportional to 37,636 and 82,184

Step by Step Solution

1. Step 1: Write the proportion equation
   37,636 : 82,184 = 82,184 : x
2. Step 2: Convert to fraction form
   37,636/82,184 = 82,184/x
3. Step 3: Cross multiply
   37,636x = 82,184 × 82,184
4. Step 4: Simplify right side
   37,636x = 6,754,209,856
5. Step 5: Solve for x
   x = 6,754,209,856/37,636
6. Step 6: Final answer
   x = 179,461.42