Finding the Third Proportional to 47,826 and 65,651

Step by Step Solution

1. Step 1: Write the proportion equation
   47,826 : 65,651 = 65,651 : x
2. Step 2: Convert to fraction form
   47,826/65,651 = 65,651/x
3. Step 3: Cross multiply
   47,826x = 65,651 × 65,651
4. Step 4: Simplify right side
   47,826x = 4,310,053,801
5. Step 5: Solve for x
   x = 4,310,053,801/47,826
6. Step 6: Final answer
   x = 90,119.47