Finding the Third Proportional to 6,429.50 and 13,874.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,429.50 : 13,874.50 = 13,874.50 : x
2. Step 2: Convert to fraction form
   6,429.50/13,874.50 = 13,874.50/x
3. Step 3: Cross multiply
   6,429.50x = 13,874.50 × 13,874.50
4. Step 4: Simplify right side
   6,429.50x = 192,501,750.25
5. Step 5: Solve for x
   x = 192,501,750.25/6,429.50
6. Step 6: Final answer
   x = 29,940.39