Finding the Third Proportional to 6,436 and 14,906

Step by Step Solution

1. Step 1: Write the proportion equation
   6,436 : 14,906 = 14,906 : x
2. Step 2: Convert to fraction form
   6,436/14,906 = 14,906/x
3. Step 3: Cross multiply
   6,436x = 14,906 × 14,906
4. Step 4: Simplify right side
   6,436x = 222,188,836
5. Step 5: Solve for x
   x = 222,188,836/6,436
6. Step 6: Final answer
   x = 34,522.81