Finding the Third Proportional to 37,508.25 and 81,456.38

Step by Step Solution

1. Step 1: Write the proportion equation
   37,508.25 : 81,456.38 = 81,456.38 : x
2. Step 2: Convert to fraction form
   37,508.25/81,456.38 = 81,456.38/x
3. Step 3: Cross multiply
   37,508.25x = 81,456.38 × 81,456.38
4. Step 4: Simplify right side
   37,508.25x = 6,635,141,028.14
5. Step 5: Solve for x
   x = 6,635,141,028.14/37,508.25
6. Step 6: Final answer
   x = 176,898.18