Finding the Third Proportional to 6,138.56 and 13,401.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,138.56 : 13,401.56 = 13,401.56 : x
2. Step 2: Convert to fraction form
   6,138.56/13,401.56 = 13,401.56/x
3. Step 3: Cross multiply
   6,138.56x = 13,401.56 × 13,401.56
4. Step 4: Simplify right side
   6,138.56x = 179,601,877.44
5. Step 5: Solve for x
   x = 179,601,877.44/6,138.56
6. Step 6: Final answer
   x = 29,257.97