Finding the Third Proportional to 20,160 and 31,563

Step by Step Solution

1. Step 1: Write the proportion equation
   20,160 : 31,563 = 31,563 : x
2. Step 2: Convert to fraction form
   20,160/31,563 = 31,563/x
3. Step 3: Cross multiply
   20,160x = 31,563 × 31,563
4. Step 4: Simplify right side
   20,160x = 996,222,969
5. Step 5: Solve for x
   x = 996,222,969/20,160
6. Step 6: Final answer
   x = 49,415.82