Finding the Third Proportional to 46,002 and 72,967

Step by Step Solution

1. Step 1: Write the proportion equation
   46,002 : 72,967 = 72,967 : x
2. Step 2: Convert to fraction form
   46,002/72,967 = 72,967/x
3. Step 3: Cross multiply
   46,002x = 72,967 × 72,967
4. Step 4: Simplify right side
   46,002x = 5,324,183,089
5. Step 5: Solve for x
   x = 5,324,183,089/46,002
6. Step 6: Final answer
   x = 115,738.08