Finding the Third Proportional to 6,292.69 and 13,734.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,292.69 : 13,734.56 = 13,734.56 : x
2. Step 2: Convert to fraction form
   6,292.69/13,734.56 = 13,734.56/x
3. Step 3: Cross multiply
   6,292.69x = 13,734.56 × 13,734.56
4. Step 4: Simplify right side
   6,292.69x = 188,638,207.07
5. Step 5: Solve for x
   x = 188,638,207.07/6,292.69
6. Step 6: Final answer
   x = 29,977.37