Finding the Third Proportional to 31,889 and 49,656

Step by Step Solution

1. Step 1: Write the proportion equation
   31,889 : 49,656 = 49,656 : x
2. Step 2: Convert to fraction form
   31,889/49,656 = 49,656/x
3. Step 3: Cross multiply
   31,889x = 49,656 × 49,656
4. Step 4: Simplify right side
   31,889x = 2,465,718,336
5. Step 5: Solve for x
   x = 2,465,718,336/31,889
6. Step 6: Final answer
   x = 77,321.91