Finding the Third Proportional to 6,820 and 14,942

Step by Step Solution

1. Step 1: Write the proportion equation
   6,820 : 14,942 = 14,942 : x
2. Step 2: Convert to fraction form
   6,820/14,942 = 14,942/x
3. Step 3: Cross multiply
   6,820x = 14,942 × 14,942
4. Step 4: Simplify right side
   6,820x = 223,263,364
5. Step 5: Solve for x
   x = 223,263,364/6,820
6. Step 6: Final answer
   x = 32,736.56