Finding the Third Proportional to 37,522 and 82,496

Step by Step Solution

1. Step 1: Write the proportion equation
   37,522 : 82,496 = 82,496 : x
2. Step 2: Convert to fraction form
   37,522/82,496 = 82,496/x
3. Step 3: Cross multiply
   37,522x = 82,496 × 82,496
4. Step 4: Simplify right side
   37,522x = 6,805,590,016
5. Step 5: Solve for x
   x = 6,805,590,016/37,522
6. Step 6: Final answer
   x = 181,375.99