Finding the Third Proportional to 35,340 and 49,538

Step by Step Solution

1. Step 1: Write the proportion equation
   35,340 : 49,538 = 49,538 : x
2. Step 2: Convert to fraction form
   35,340/49,538 = 49,538/x
3. Step 3: Cross multiply
   35,340x = 49,538 × 49,538
4. Step 4: Simplify right side
   35,340x = 2,454,013,444
5. Step 5: Solve for x
   x = 2,454,013,444/35,340
6. Step 6: Final answer
   x = 69,440.11