Finding the Third Proportional to 6,402.56 and 13,857.94

Step by Step Solution

1. Step 1: Write the proportion equation
   6,402.56 : 13,857.94 = 13,857.94 : x
2. Step 2: Convert to fraction form
   6,402.56/13,857.94 = 13,857.94/x
3. Step 3: Cross multiply
   6,402.56x = 13,857.94 × 13,857.94
4. Step 4: Simplify right side
   6,402.56x = 192,042,431.75
5. Step 5: Solve for x
   x = 192,042,431.75/6,402.56
6. Step 6: Final answer
   x = 29,994.62