Finding the Third Proportional to 31,464 and 49,356

Step by Step Solution

1. Step 1: Write the proportion equation
   31,464 : 49,356 = 49,356 : x
2. Step 2: Convert to fraction form
   31,464/49,356 = 49,356/x
3. Step 3: Cross multiply
   31,464x = 49,356 × 49,356
4. Step 4: Simplify right side
   31,464x = 2,436,014,736
5. Step 5: Solve for x
   x = 2,436,014,736/31,464
6. Step 6: Final answer
   x = 77,422.28