Finding the Third Proportional to 19,824 and 31,584

Step by Step Solution

1. Step 1: Write the proportion equation
   19,824 : 31,584 = 31,584 : x
2. Step 2: Convert to fraction form
   19,824/31,584 = 31,584/x
3. Step 3: Cross multiply
   19,824x = 31,584 × 31,584
4. Step 4: Simplify right side
   19,824x = 997,549,056
5. Step 5: Solve for x
   x = 997,549,056/19,824
6. Step 6: Final answer
   x = 50,320.27