Finding the Third Proportional to 27,927 and 42,656

Step by Step Solution

1. Step 1: Write the proportion equation
   27,927 : 42,656 = 42,656 : x
2. Step 2: Convert to fraction form
   27,927/42,656 = 42,656/x
3. Step 3: Cross multiply
   27,927x = 42,656 × 42,656
4. Step 4: Simplify right side
   27,927x = 1,819,534,336
5. Step 5: Solve for x
   x = 1,819,534,336/27,927
6. Step 6: Final answer
   x = 65,153.23