Finding the Third Proportional to 37,663 and 81,162

Step by Step Solution

1. Step 1: Write the proportion equation
   37,663 : 81,162 = 81,162 : x
2. Step 2: Convert to fraction form
   37,663/81,162 = 81,162/x
3. Step 3: Cross multiply
   37,663x = 81,162 × 81,162
4. Step 4: Simplify right side
   37,663x = 6,587,270,244
5. Step 5: Solve for x
   x = 6,587,270,244/37,663
6. Step 6: Final answer
   x = 174,900.31