Finding the Third Proportional to 22,944 and 35,074

Step by Step Solution

1. Step 1: Write the proportion equation
   22,944 : 35,074 = 35,074 : x
2. Step 2: Convert to fraction form
   22,944/35,074 = 35,074/x
3. Step 3: Cross multiply
   22,944x = 35,074 × 35,074
4. Step 4: Simplify right side
   22,944x = 1,230,185,476
5. Step 5: Solve for x
   x = 1,230,185,476/22,944
6. Step 6: Final answer
   x = 53,616.87