Finding the Third Proportional to 19,764 and 31,600

Step by Step Solution

1. Step 1: Write the proportion equation
   19,764 : 31,600 = 31,600 : x
2. Step 2: Convert to fraction form
   19,764/31,600 = 31,600/x
3. Step 3: Cross multiply
   19,764x = 31,600 × 31,600
4. Step 4: Simplify right side
   19,764x = 998,560,000
5. Step 5: Solve for x
   x = 998,560,000/19,764
6. Step 6: Final answer
   x = 50,524.19