Finding the Third Proportional to 6,333.19 and 14,676.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,333.19 : 14,676.82 = 14,676.82 : x
2. Step 2: Convert to fraction form
   6,333.19/14,676.82 = 14,676.82/x
3. Step 3: Cross multiply
   6,333.19x = 14,676.82 × 14,676.82
4. Step 4: Simplify right side
   6,333.19x = 215,409,054.49
5. Step 5: Solve for x
   x = 215,409,054.49/6,333.19
6. Step 6: Final answer
   x = 34,012.74