Finding the Third Proportional to 9,686.25 and 14,907.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,686.25 : 14,907.38 = 14,907.38 : x
2. Step 2: Convert to fraction form
   9,686.25/14,907.38 = 14,907.38/x
3. Step 3: Cross multiply
   9,686.25x = 14,907.38 × 14,907.38
4. Step 4: Simplify right side
   9,686.25x = 222,229,829.39
5. Step 5: Solve for x
   x = 222,229,829.39/9,686.25
6. Step 6: Final answer
   x = 22,942.81