Finding the Third Proportional to 31,684 and 49,054

Step by Step Solution

1. Step 1: Write the proportion equation
   31,684 : 49,054 = 49,054 : x
2. Step 2: Convert to fraction form
   31,684/49,054 = 49,054/x
3. Step 3: Cross multiply
   31,684x = 49,054 × 49,054
4. Step 4: Simplify right side
   31,684x = 2,406,294,916
5. Step 5: Solve for x
   x = 2,406,294,916/31,684
6. Step 6: Final answer
   x = 75,946.69