Finding the Third Proportional to 34,944 and 52,578

Step by Step Solution

1. Step 1: Write the proportion equation
   34,944 : 52,578 = 52,578 : x
2. Step 2: Convert to fraction form
   34,944/52,578 = 52,578/x
3. Step 3: Cross multiply
   34,944x = 52,578 × 52,578
4. Step 4: Simplify right side
   34,944x = 2,764,446,084
5. Step 5: Solve for x
   x = 2,764,446,084/34,944
6. Step 6: Final answer
   x = 79,110.75