Finding the Third Proportional to 31,746 and 46,617

Step by Step Solution

1. Step 1: Write the proportion equation
   31,746 : 46,617 = 46,617 : x
2. Step 2: Convert to fraction form
   31,746/46,617 = 46,617/x
3. Step 3: Cross multiply
   31,746x = 46,617 × 46,617
4. Step 4: Simplify right side
   31,746x = 2,173,144,689
5. Step 5: Solve for x
   x = 2,173,144,689/31,746
6. Step 6: Final answer
   x = 68,454.13