Finding the Third Proportional to 49,578 and 69,345

Step by Step Solution

1. Step 1: Write the proportion equation
   49,578 : 69,345 = 69,345 : x
2. Step 2: Convert to fraction form
   49,578/69,345 = 69,345/x
3. Step 3: Cross multiply
   49,578x = 69,345 × 69,345
4. Step 4: Simplify right side
   49,578x = 4,808,729,025
5. Step 5: Solve for x
   x = 4,808,729,025/49,578
6. Step 6: Final answer
   x = 96,993.20