Finding the Third Proportional to 33,690 and 46,722

Step by Step Solution

1. Step 1: Write the proportion equation
   33,690 : 46,722 = 46,722 : x
2. Step 2: Convert to fraction form
   33,690/46,722 = 46,722/x
3. Step 3: Cross multiply
   33,690x = 46,722 × 46,722
4. Step 4: Simplify right side
   33,690x = 2,182,945,284
5. Step 5: Solve for x
   x = 2,182,945,284/33,690
6. Step 6: Final answer
   x = 64,795.05