Finding the Third Proportional to 37,827 and 82,200

Step by Step Solution

1. Step 1: Write the proportion equation
   37,827 : 82,200 = 82,200 : x
2. Step 2: Convert to fraction form
   37,827/82,200 = 82,200/x
3. Step 3: Cross multiply
   37,827x = 82,200 × 82,200
4. Step 4: Simplify right side
   37,827x = 6,756,840,000
5. Step 5: Solve for x
   x = 6,756,840,000/37,827
6. Step 6: Final answer
   x = 178,624.79