Finding the Third Proportional to 6,726 and 12,841.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,726 : 12,841.50 = 12,841.50 : x
2. Step 2: Convert to fraction form
   6,726/12,841.50 = 12,841.50/x
3. Step 3: Cross multiply
   6,726x = 12,841.50 × 12,841.50
4. Step 4: Simplify right side
   6,726x = 164,904,122.25
5. Step 5: Solve for x
   x = 164,904,122.25/6,726
6. Step 6: Final answer
   x = 24,517.41