Finding the Third Proportional to 46,021 and 72,739

Step by Step Solution

1. Step 1: Write the proportion equation
   46,021 : 72,739 = 72,739 : x
2. Step 2: Convert to fraction form
   46,021/72,739 = 72,739/x
3. Step 3: Cross multiply
   46,021x = 72,739 × 72,739
4. Step 4: Simplify right side
   46,021x = 5,290,962,121
5. Step 5: Solve for x
   x = 5,290,962,121/46,021
6. Step 6: Final answer
   x = 114,968.43