Finding the Third Proportional to 31,684 and 49,278

Step by Step Solution

1. Step 1: Write the proportion equation
   31,684 : 49,278 = 49,278 : x
2. Step 2: Convert to fraction form
   31,684/49,278 = 49,278/x
3. Step 3: Cross multiply
   31,684x = 49,278 × 49,278
4. Step 4: Simplify right side
   31,684x = 2,428,321,284
5. Step 5: Solve for x
   x = 2,428,321,284/31,684
6. Step 6: Final answer
   x = 76,641.88