Finding the Third Proportional to 10,228.78 and 15,848.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,228.78 : 15,848.16 = 15,848.16 : x
2. Step 2: Convert to fraction form
   10,228.78/15,848.16 = 15,848.16/x
3. Step 3: Cross multiply
   10,228.78x = 15,848.16 × 15,848.16
4. Step 4: Simplify right side
   10,228.78x = 251,164,056.52
5. Step 5: Solve for x
   x = 251,164,056.52/10,228.78
6. Step 6: Final answer
   x = 24,554.64