Finding the Third Proportional to 20,183 and 31,354

Step by Step Solution

1. Step 1: Write the proportion equation
   20,183 : 31,354 = 31,354 : x
2. Step 2: Convert to fraction form
   20,183/31,354 = 31,354/x
3. Step 3: Cross multiply
   20,183x = 31,354 × 31,354
4. Step 4: Simplify right side
   20,183x = 983,073,316
5. Step 5: Solve for x
   x = 983,073,316/20,183
6. Step 6: Final answer
   x = 48,707.99