Finding the Third Proportional to 31,809 and 46,741

Step by Step Solution

1. Step 1: Write the proportion equation
   31,809 : 46,741 = 46,741 : x
2. Step 2: Convert to fraction form
   31,809/46,741 = 46,741/x
3. Step 3: Cross multiply
   31,809x = 46,741 × 46,741
4. Step 4: Simplify right side
   31,809x = 2,184,721,081
5. Step 5: Solve for x
   x = 2,184,721,081/31,809
6. Step 6: Final answer
   x = 68,682.48