Finding the Third Proportional to 37,662 and 81,156

Step by Step Solution

1. Step 1: Write the proportion equation
   37,662 : 81,156 = 81,156 : x
2. Step 2: Convert to fraction form
   37,662/81,156 = 81,156/x
3. Step 3: Cross multiply
   37,662x = 81,156 × 81,156
4. Step 4: Simplify right side
   37,662x = 6,586,296,336
5. Step 5: Solve for x
   x = 6,586,296,336/37,662
6. Step 6: Final answer
   x = 174,879.09