Finding the Third Proportional to 6,493.25 and 14,222.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,493.25 : 14,222.25 = 14,222.25 : x
2. Step 2: Convert to fraction form
   6,493.25/14,222.25 = 14,222.25/x
3. Step 3: Cross multiply
   6,493.25x = 14,222.25 × 14,222.25
4. Step 4: Simplify right side
   6,493.25x = 202,272,395.06
5. Step 5: Solve for x
   x = 202,272,395.06/6,493.25
6. Step 6: Final answer
   x = 31,151.18