Finding the Third Proportional to 6,211.69 and 14,583.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,211.69 : 14,583.38 = 14,583.38 : x
2. Step 2: Convert to fraction form
   6,211.69/14,583.38 = 14,583.38/x
3. Step 3: Cross multiply
   6,211.69x = 14,583.38 × 14,583.38
4. Step 4: Simplify right side
   6,211.69x = 212,674,826.39
5. Step 5: Solve for x
   x = 212,674,826.39/6,211.69
6. Step 6: Final answer
   x = 34,237.85