Finding the Third Proportional to 37,391 and 82,372

Step by Step Solution

1. Step 1: Write the proportion equation
   37,391 : 82,372 = 82,372 : x
2. Step 2: Convert to fraction form
   37,391/82,372 = 82,372/x
3. Step 3: Cross multiply
   37,391x = 82,372 × 82,372
4. Step 4: Simplify right side
   37,391x = 6,785,146,384
5. Step 5: Solve for x
   x = 6,785,146,384/37,391
6. Step 6: Final answer
   x = 181,464.69