Finding the Third Proportional to 46,778 and 72,012

Step by Step Solution

1. Step 1: Write the proportion equation
   46,778 : 72,012 = 72,012 : x
2. Step 2: Convert to fraction form
   46,778/72,012 = 72,012/x
3. Step 3: Cross multiply
   46,778x = 72,012 × 72,012
4. Step 4: Simplify right side
   46,778x = 5,185,728,144
5. Step 5: Solve for x
   x = 5,185,728,144/46,778
6. Step 6: Final answer
   x = 110,858.27