Finding the Third Proportional to 19,536 and 41,496

Step by Step Solution

1. Step 1: Write the proportion equation
   19,536 : 41,496 = 41,496 : x
2. Step 2: Convert to fraction form
   19,536/41,496 = 41,496/x
3. Step 3: Cross multiply
   19,536x = 41,496 × 41,496
4. Step 4: Simplify right side
   19,536x = 1,721,918,016
5. Step 5: Solve for x
   x = 1,721,918,016/19,536
6. Step 6: Final answer
   x = 88,140.77