Finding the Third Proportional to 20,230 and 31,412

Step by Step Solution

1. Step 1: Write the proportion equation
   20,230 : 31,412 = 31,412 : x
2. Step 2: Convert to fraction form
   20,230/31,412 = 31,412/x
3. Step 3: Cross multiply
   20,230x = 31,412 × 31,412
4. Step 4: Simplify right side
   20,230x = 986,713,744
5. Step 5: Solve for x
   x = 986,713,744/20,230
6. Step 6: Final answer
   x = 48,774.78