Finding the Third Proportional to 20,896 and 31,560

Step by Step Solution

1. Step 1: Write the proportion equation
   20,896 : 31,560 = 31,560 : x
2. Step 2: Convert to fraction form
   20,896/31,560 = 31,560/x
3. Step 3: Cross multiply
   20,896x = 31,560 × 31,560
4. Step 4: Simplify right side
   20,896x = 996,033,600
5. Step 5: Solve for x
   x = 996,033,600/20,896
6. Step 6: Final answer
   x = 47,666.23