Finding the Third Proportional to 20,174 and 31,366

Step by Step Solution

1. Step 1: Write the proportion equation
   20,174 : 31,366 = 31,366 : x
2. Step 2: Convert to fraction form
   20,174/31,366 = 31,366/x
3. Step 3: Cross multiply
   20,174x = 31,366 × 31,366
4. Step 4: Simplify right side
   20,174x = 983,825,956
5. Step 5: Solve for x
   x = 983,825,956/20,174
6. Step 6: Final answer
   x = 48,767.02