Finding the Third Proportional to 14,138 and 30,706

Step by Step Solution

1. Step 1: Write the proportion equation
   14,138 : 30,706 = 30,706 : x
2. Step 2: Convert to fraction form
   14,138/30,706 = 30,706/x
3. Step 3: Cross multiply
   14,138x = 30,706 × 30,706
4. Step 4: Simplify right side
   14,138x = 942,858,436
5. Step 5: Solve for x
   x = 942,858,436/14,138
6. Step 6: Final answer
   x = 66,689.66