Finding the Third Proportional to 65,826 and 106,005.38

Step by Step Solution

1. Step 1: Write the proportion equation
   65,826 : 106,005.38 = 106,005.38 : x
2. Step 2: Convert to fraction form
   65,826/106,005.38 = 106,005.38/x
3. Step 3: Cross multiply
   65,826x = 106,005.38 × 106,005.38
4. Step 4: Simplify right side
   65,826x = 11,237,139,528.89
5. Step 5: Solve for x
   x = 11,237,139,528.89/65,826
6. Step 6: Final answer
   x = 170,709.74