Finding the Third Proportional to 31,457 and 49,098

Step by Step Solution

1. Step 1: Write the proportion equation
   31,457 : 49,098 = 49,098 : x
2. Step 2: Convert to fraction form
   31,457/49,098 = 49,098/x
3. Step 3: Cross multiply
   31,457x = 49,098 × 49,098
4. Step 4: Simplify right side
   31,457x = 2,410,613,604
5. Step 5: Solve for x
   x = 2,410,613,604/31,457
6. Step 6: Final answer
   x = 76,632.02