Finding the Third Proportional to 34,678 and 53,578

Step by Step Solution

1. Step 1: Write the proportion equation
   34,678 : 53,578 = 53,578 : x
2. Step 2: Convert to fraction form
   34,678/53,578 = 53,578/x
3. Step 3: Cross multiply
   34,678x = 53,578 × 53,578
4. Step 4: Simplify right side
   34,678x = 2,870,602,084
5. Step 5: Solve for x
   x = 2,870,602,084/34,678
6. Step 6: Final answer
   x = 82,778.77