Finding the Third Proportional to 27,648 and 42,696

Step by Step Solution

1. Step 1: Write the proportion equation
   27,648 : 42,696 = 42,696 : x
2. Step 2: Convert to fraction form
   27,648/42,696 = 42,696/x
3. Step 3: Cross multiply
   27,648x = 42,696 × 42,696
4. Step 4: Simplify right side
   27,648x = 1,822,948,416
5. Step 5: Solve for x
   x = 1,822,948,416/27,648
6. Step 6: Final answer
   x = 65,934.19