Finding the Third Proportional to 37,234.69 and 81,021.38

Step by Step Solution

1. Step 1: Write the proportion equation
   37,234.69 : 81,021.38 = 81,021.38 : x
2. Step 2: Convert to fraction form
   37,234.69/81,021.38 = 81,021.38/x
3. Step 3: Cross multiply
   37,234.69x = 81,021.38 × 81,021.38
4. Step 4: Simplify right side
   37,234.69x = 6,564,463,206.89
5. Step 5: Solve for x
   x = 6,564,463,206.89/37,234.69
6. Step 6: Final answer
   x = 176,299.67