Finding the Third Proportional to 34,138 and 49,706

Step by Step Solution

1. Step 1: Write the proportion equation
   34,138 : 49,706 = 49,706 : x
2. Step 2: Convert to fraction form
   34,138/49,706 = 49,706/x
3. Step 3: Cross multiply
   34,138x = 49,706 × 49,706
4. Step 4: Simplify right side
   34,138x = 2,470,686,436
5. Step 5: Solve for x
   x = 2,470,686,436/34,138
6. Step 6: Final answer
   x = 72,373.50