Finding the Third Proportional to 31,774 and 46,736

Step by Step Solution

1. Step 1: Write the proportion equation
   31,774 : 46,736 = 46,736 : x
2. Step 2: Convert to fraction form
   31,774/46,736 = 46,736/x
3. Step 3: Cross multiply
   31,774x = 46,736 × 46,736
4. Step 4: Simplify right side
   31,774x = 2,184,253,696
5. Step 5: Solve for x
   x = 2,184,253,696/31,774
6. Step 6: Final answer
   x = 68,743.43