Finding the Third Proportional to 19,948 and 31,295

Step by Step Solution

1. Step 1: Write the proportion equation
   19,948 : 31,295 = 31,295 : x
2. Step 2: Convert to fraction form
   19,948/31,295 = 31,295/x
3. Step 3: Cross multiply
   19,948x = 31,295 × 31,295
4. Step 4: Simplify right side
   19,948x = 979,377,025
5. Step 5: Solve for x
   x = 979,377,025/19,948
6. Step 6: Final answer
   x = 49,096.50