Finding the Third Proportional to 31,014 and 49,513

Step by Step Solution

1. Step 1: Write the proportion equation
   31,014 : 49,513 = 49,513 : x
2. Step 2: Convert to fraction form
   31,014/49,513 = 49,513/x
3. Step 3: Cross multiply
   31,014x = 49,513 × 49,513
4. Step 4: Simplify right side
   31,014x = 2,451,537,169
5. Step 5: Solve for x
   x = 2,451,537,169/31,014
6. Step 6: Final answer
   x = 79,046.15