Finding the Third Proportional to 31,745 and 46,633

Step by Step Solution

1. Step 1: Write the proportion equation
   31,745 : 46,633 = 46,633 : x
2. Step 2: Convert to fraction form
   31,745/46,633 = 46,633/x
3. Step 3: Cross multiply
   31,745x = 46,633 × 46,633
4. Step 4: Simplify right side
   31,745x = 2,174,636,689
5. Step 5: Solve for x
   x = 2,174,636,689/31,745
6. Step 6: Final answer
   x = 68,503.28