Finding the Third Proportional to 49,198 and 69,036

Step by Step Solution

1. Step 1: Write the proportion equation
   49,198 : 69,036 = 69,036 : x
2. Step 2: Convert to fraction form
   49,198/69,036 = 69,036/x
3. Step 3: Cross multiply
   49,198x = 69,036 × 69,036
4. Step 4: Simplify right side
   49,198x = 4,765,969,296
5. Step 5: Solve for x
   x = 4,765,969,296/49,198
6. Step 6: Final answer
   x = 96,873.23