Finding the Third Proportional to 37,386 and 82,359

Step by Step Solution

1. Step 1: Write the proportion equation
   37,386 : 82,359 = 82,359 : x
2. Step 2: Convert to fraction form
   37,386/82,359 = 82,359/x
3. Step 3: Cross multiply
   37,386x = 82,359 × 82,359
4. Step 4: Simplify right side
   37,386x = 6,783,004,881
5. Step 5: Solve for x
   x = 6,783,004,881/37,386
6. Step 6: Final answer
   x = 181,431.68