Finding the Third Proportional to 20,434 and 31,715

Step by Step Solution

1. Step 1: Write the proportion equation
   20,434 : 31,715 = 31,715 : x
2. Step 2: Convert to fraction form
   20,434/31,715 = 31,715/x
3. Step 3: Cross multiply
   20,434x = 31,715 × 31,715
4. Step 4: Simplify right side
   20,434x = 1,005,841,225
5. Step 5: Solve for x
   x = 1,005,841,225/20,434
6. Step 6: Final answer
   x = 49,223.90