Finding the Third Proportional to 64,821 and 105,846

Step by Step Solution

1. Step 1: Write the proportion equation
   64,821 : 105,846 = 105,846 : x
2. Step 2: Convert to fraction form
   64,821/105,846 = 105,846/x
3. Step 3: Cross multiply
   64,821x = 105,846 × 105,846
4. Step 4: Simplify right side
   64,821x = 11,203,375,716
5. Step 5: Solve for x
   x = 11,203,375,716/64,821
6. Step 6: Final answer
   x = 172,835.59