Finding the Third Proportional to 37,496 and 82,424

Step by Step Solution

1. Step 1: Write the proportion equation
   37,496 : 82,424 = 82,424 : x
2. Step 2: Convert to fraction form
   37,496/82,424 = 82,424/x
3. Step 3: Cross multiply
   37,496x = 82,424 × 82,424
4. Step 4: Simplify right side
   37,496x = 6,793,715,776
5. Step 5: Solve for x
   x = 6,793,715,776/37,496
6. Step 6: Final answer
   x = 181,185.08