Finding the Third Proportional to 31,746 and 46,632

Step by Step Solution

1. Step 1: Write the proportion equation
   31,746 : 46,632 = 46,632 : x
2. Step 2: Convert to fraction form
   31,746/46,632 = 46,632/x
3. Step 3: Cross multiply
   31,746x = 46,632 × 46,632
4. Step 4: Simplify right side
   31,746x = 2,174,543,424
5. Step 5: Solve for x
   x = 2,174,543,424/31,746
6. Step 6: Final answer
   x = 68,498.19