Finding the Third Proportional to 20,250 and 31,695

Step by Step Solution

1. Step 1: Write the proportion equation
   20,250 : 31,695 = 31,695 : x
2. Step 2: Convert to fraction form
   20,250/31,695 = 31,695/x
3. Step 3: Cross multiply
   20,250x = 31,695 × 31,695
4. Step 4: Simplify right side
   20,250x = 1,004,573,025
5. Step 5: Solve for x
   x = 1,004,573,025/20,250
6. Step 6: Final answer
   x = 49,608.54