Finding the Third Proportional to 6,238.50 and 13,649.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,238.50 : 13,649.25 = 13,649.25 : x
2. Step 2: Convert to fraction form
   6,238.50/13,649.25 = 13,649.25/x
3. Step 3: Cross multiply
   6,238.50x = 13,649.25 × 13,649.25
4. Step 4: Simplify right side
   6,238.50x = 186,302,025.56
5. Step 5: Solve for x
   x = 186,302,025.56/6,238.50
6. Step 6: Final answer
   x = 29,863.27