Finding the Third Proportional to 6,834 and 14,902

Step by Step Solution

1. Step 1: Write the proportion equation
   6,834 : 14,902 = 14,902 : x
2. Step 2: Convert to fraction form
   6,834/14,902 = 14,902/x
3. Step 3: Cross multiply
   6,834x = 14,902 × 14,902
4. Step 4: Simplify right side
   6,834x = 222,069,604
5. Step 5: Solve for x
   x = 222,069,604/6,834
6. Step 6: Final answer
   x = 32,494.82