Finding the Third Proportional to 6,223.50 and 13,493.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,223.50 : 13,493.25 = 13,493.25 : x
2. Step 2: Convert to fraction form
   6,223.50/13,493.25 = 13,493.25/x
3. Step 3: Cross multiply
   6,223.50x = 13,493.25 × 13,493.25
4. Step 4: Simplify right side
   6,223.50x = 182,067,795.56
5. Step 5: Solve for x
   x = 182,067,795.56/6,223.50
6. Step 6: Final answer
   x = 29,254.89