Finding the Third Proportional to 64,826 and 105,853

Step by Step Solution

1. Step 1: Write the proportion equation
   64,826 : 105,853 = 105,853 : x
2. Step 2: Convert to fraction form
   64,826/105,853 = 105,853/x
3. Step 3: Cross multiply
   64,826x = 105,853 × 105,853
4. Step 4: Simplify right side
   64,826x = 11,204,857,609
5. Step 5: Solve for x
   x = 11,204,857,609/64,826
6. Step 6: Final answer
   x = 172,845.12