Finding the Third Proportional to 6,846 and 14,920

Step by Step Solution

1. Step 1: Write the proportion equation
   6,846 : 14,920 = 14,920 : x
2. Step 2: Convert to fraction form
   6,846/14,920 = 14,920/x
3. Step 3: Cross multiply
   6,846x = 14,920 × 14,920
4. Step 4: Simplify right side
   6,846x = 222,606,400
5. Step 5: Solve for x
   x = 222,606,400/6,846
6. Step 6: Final answer
   x = 32,516.27