Finding the Third Proportional to 37,709 and 82,889

Step by Step Solution

1. Step 1: Write the proportion equation
   37,709 : 82,889 = 82,889 : x
2. Step 2: Convert to fraction form
   37,709/82,889 = 82,889/x
3. Step 3: Cross multiply
   37,709x = 82,889 × 82,889
4. Step 4: Simplify right side
   37,709x = 6,870,586,321
5. Step 5: Solve for x
   x = 6,870,586,321/37,709
6. Step 6: Final answer
   x = 182,200.17