Finding the Third Proportional to 19,884 and 31,650

Step by Step Solution

1. Step 1: Write the proportion equation
   19,884 : 31,650 = 31,650 : x
2. Step 2: Convert to fraction form
   19,884/31,650 = 31,650/x
3. Step 3: Cross multiply
   19,884x = 31,650 × 31,650
4. Step 4: Simplify right side
   19,884x = 1,001,722,500
5. Step 5: Solve for x
   x = 1,001,722,500/19,884
6. Step 6: Final answer
   x = 50,378.32