Finding the Third Proportional to 6,841.45 and 14,738.30

Step by Step Solution

1. Step 1: Write the proportion equation
   6,841.45 : 14,738.30 = 14,738.30 : x
2. Step 2: Convert to fraction form
   6,841.45/14,738.30 = 14,738.30/x
3. Step 3: Cross multiply
   6,841.45x = 14,738.30 × 14,738.30
4. Step 4: Simplify right side
   6,841.45x = 217,217,394.78
5. Step 5: Solve for x
   x = 217,217,394.78/6,841.45
6. Step 6: Final answer
   x = 31,750.18