Finding the Third Proportional to 10,228.78 and 15,374.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,228.78 : 15,374.81 = 15,374.81 : x
2. Step 2: Convert to fraction form
   10,228.78/15,374.81 = 15,374.81/x
3. Step 3: Cross multiply
   10,228.78x = 15,374.81 × 15,374.81
4. Step 4: Simplify right side
   10,228.78x = 236,384,859.41
5. Step 5: Solve for x
   x = 236,384,859.41/10,228.78
6. Step 6: Final answer
   x = 23,109.78