Finding the Third Proportional to 6,274 and 13,494

Step by Step Solution

1. Step 1: Write the proportion equation
   6,274 : 13,494 = 13,494 : x
2. Step 2: Convert to fraction form
   6,274/13,494 = 13,494/x
3. Step 3: Cross multiply
   6,274x = 13,494 × 13,494
4. Step 4: Simplify right side
   6,274x = 182,088,036
5. Step 5: Solve for x
   x = 182,088,036/6,274
6. Step 6: Final answer
   x = 29,022.64