Finding the Third Proportional to 46,721 and 72,543

Step by Step Solution

1. Step 1: Write the proportion equation
   46,721 : 72,543 = 72,543 : x
2. Step 2: Convert to fraction form
   46,721/72,543 = 72,543/x
3. Step 3: Cross multiply
   46,721x = 72,543 × 72,543
4. Step 4: Simplify right side
   46,721x = 5,262,486,849
5. Step 5: Solve for x
   x = 5,262,486,849/46,721
6. Step 6: Final answer
   x = 112,636.43