Finding the Third Proportional to 37,389 and 82,368

Step by Step Solution

1. Step 1: Write the proportion equation
   37,389 : 82,368 = 82,368 : x
2. Step 2: Convert to fraction form
   37,389/82,368 = 82,368/x
3. Step 3: Cross multiply
   37,389x = 82,368 × 82,368
4. Step 4: Simplify right side
   37,389x = 6,784,487,424
5. Step 5: Solve for x
   x = 6,784,487,424/37,389
6. Step 6: Final answer
   x = 181,456.78