Finding the Third Proportional to 31,822 and 62,841

Step by Step Solution

1. Step 1: Write the proportion equation
   31,822 : 62,841 = 62,841 : x
2. Step 2: Convert to fraction form
   31,822/62,841 = 62,841/x
3. Step 3: Cross multiply
   31,822x = 62,841 × 62,841
4. Step 4: Simplify right side
   31,822x = 3,948,991,281
5. Step 5: Solve for x
   x = 3,948,991,281/31,822
6. Step 6: Final answer
   x = 124,096.26