Finding the Third Proportional to 37,813 and 82,861

Step by Step Solution

1. Step 1: Write the proportion equation
   37,813 : 82,861 = 82,861 : x
2. Step 2: Convert to fraction form
   37,813/82,861 = 82,861/x
3. Step 3: Cross multiply
   37,813x = 82,861 × 82,861
4. Step 4: Simplify right side
   37,813x = 6,865,945,321
5. Step 5: Solve for x
   x = 6,865,945,321/37,813
6. Step 6: Final answer
   x = 181,576.32