Finding the Third Proportional to 37,814 and 82,436

Step by Step Solution

1. Step 1: Write the proportion equation
   37,814 : 82,436 = 82,436 : x
2. Step 2: Convert to fraction form
   37,814/82,436 = 82,436/x
3. Step 3: Cross multiply
   37,814x = 82,436 × 82,436
4. Step 4: Simplify right side
   37,814x = 6,795,694,096
5. Step 5: Solve for x
   x = 6,795,694,096/37,814
6. Step 6: Final answer
   x = 179,713.71