Finding the Third Proportional to 19,500 and 31,402

Step by Step Solution

1. Step 1: Write the proportion equation
   19,500 : 31,402 = 31,402 : x
2. Step 2: Convert to fraction form
   19,500/31,402 = 31,402/x
3. Step 3: Cross multiply
   19,500x = 31,402 × 31,402
4. Step 4: Simplify right side
   19,500x = 986,085,604
5. Step 5: Solve for x
   x = 986,085,604/19,500
6. Step 6: Final answer
   x = 50,568.49