Finding the Third Proportional to 45,198 and 69,984

Step by Step Solution

1. Step 1: Write the proportion equation
   45,198 : 69,984 = 69,984 : x
2. Step 2: Convert to fraction form
   45,198/69,984 = 69,984/x
3. Step 3: Cross multiply
   45,198x = 69,984 × 69,984
4. Step 4: Simplify right side
   45,198x = 4,897,760,256
5. Step 5: Solve for x
   x = 4,897,760,256/45,198
6. Step 6: Final answer
   x = 108,362.32