Finding the Third Proportional to 31,810 and 46,743

Step by Step Solution

1. Step 1: Write the proportion equation
   31,810 : 46,743 = 46,743 : x
2. Step 2: Convert to fraction form
   31,810/46,743 = 46,743/x
3. Step 3: Cross multiply
   31,810x = 46,743 × 46,743
4. Step 4: Simplify right side
   31,810x = 2,184,908,049
5. Step 5: Solve for x
   x = 2,184,908,049/31,810
6. Step 6: Final answer
   x = 68,686.20