Finding the Third Proportional to 35,188 and 49,398

Step by Step Solution

1. Step 1: Write the proportion equation
   35,188 : 49,398 = 49,398 : x
2. Step 2: Convert to fraction form
   35,188/49,398 = 49,398/x
3. Step 3: Cross multiply
   35,188x = 49,398 × 49,398
4. Step 4: Simplify right side
   35,188x = 2,440,162,404
5. Step 5: Solve for x
   x = 2,440,162,404/35,188
6. Step 6: Final answer
   x = 69,346.44