Finding the Third Proportional to 37,578.38 and 87,384.38

Step by Step Solution

1. Step 1: Write the proportion equation
   37,578.38 : 87,384.38 = 87,384.38 : x
2. Step 2: Convert to fraction form
   37,578.38/87,384.38 = 87,384.38/x
3. Step 3: Cross multiply
   37,578.38x = 87,384.38 × 87,384.38
4. Step 4: Simplify right side
   37,578.38x = 7,636,028,994.14
5. Step 5: Solve for x
   x = 7,636,028,994.14/37,578.38
6. Step 6: Final answer
   x = 203,202.75