Finding the Third Proportional to 14,868 and 21,739.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,868 : 21,739.50 = 21,739.50 : x
2. Step 2: Convert to fraction form
   14,868/21,739.50 = 21,739.50/x
3. Step 3: Cross multiply
   14,868x = 21,739.50 × 21,739.50
4. Step 4: Simplify right side
   14,868x = 472,605,860.25
5. Step 5: Solve for x
   x = 472,605,860.25/14,868
6. Step 6: Final answer
   x = 31,786.78