Finding the Third Proportional to 49,814 and 76,017

Step by Step Solution

1. Step 1: Write the proportion equation
   49,814 : 76,017 = 76,017 : x
2. Step 2: Convert to fraction form
   49,814/76,017 = 76,017/x
3. Step 3: Cross multiply
   49,814x = 76,017 × 76,017
4. Step 4: Simplify right side
   49,814x = 5,778,584,289
5. Step 5: Solve for x
   x = 5,778,584,289/49,814
6. Step 6: Final answer
   x = 116,003.22