Finding the Third Proportional to 31,896 and 45,656

Step by Step Solution

1. Step 1: Write the proportion equation
   31,896 : 45,656 = 45,656 : x
2. Step 2: Convert to fraction form
   31,896/45,656 = 45,656/x
3. Step 3: Cross multiply
   31,896x = 45,656 × 45,656
4. Step 4: Simplify right side
   31,896x = 2,084,470,336
5. Step 5: Solve for x
   x = 2,084,470,336/31,896
6. Step 6: Final answer
   x = 65,352.09