Finding the Third Proportional to 19,584 and 41,400.38

Step by Step Solution

1. Step 1: Write the proportion equation
   19,584 : 41,400.38 = 41,400.38 : x
2. Step 2: Convert to fraction form
   19,584/41,400.38 = 41,400.38/x
3. Step 3: Cross multiply
   19,584x = 41,400.38 × 41,400.38
4. Step 4: Simplify right side
   19,584x = 1,713,991,050.14
5. Step 5: Solve for x
   x = 1,713,991,050.14/19,584
6. Step 6: Final answer
   x = 87,519.97