Finding the Third Proportional to 6,234 and 13,641.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,234 : 13,641.25 = 13,641.25 : x
2. Step 2: Convert to fraction form
   6,234/13,641.25 = 13,641.25/x
3. Step 3: Cross multiply
   6,234x = 13,641.25 × 13,641.25
4. Step 4: Simplify right side
   6,234x = 186,083,701.56
5. Step 5: Solve for x
   x = 186,083,701.56/6,234
6. Step 6: Final answer
   x = 29,849.81