Finding the Third Proportional to 14,971.78 and 22,458.09

Step by Step Solution

1. Step 1: Write the proportion equation
   14,971.78 : 22,458.09 = 22,458.09 : x
2. Step 2: Convert to fraction form
   14,971.78/22,458.09 = 22,458.09/x
3. Step 3: Cross multiply
   14,971.78x = 22,458.09 × 22,458.09
4. Step 4: Simplify right side
   14,971.78x = 504,365,974.88
5. Step 5: Solve for x
   x = 504,365,974.88/14,971.78
6. Step 6: Final answer
   x = 33,687.77