Finding the Third Proportional to 6,256.50 and 13,673.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,256.50 : 13,673.63 = 13,673.63 : x
2. Step 2: Convert to fraction form
   6,256.50/13,673.63 = 13,673.63/x
3. Step 3: Cross multiply
   6,256.50x = 13,673.63 × 13,673.63
4. Step 4: Simplify right side
   6,256.50x = 186,968,020.64
5. Step 5: Solve for x
   x = 186,968,020.64/6,256.50
6. Step 6: Final answer
   x = 29,883.80