Finding the Third Proportional to 9,256.78 and 14,116.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,256.78 : 14,116.78 = 14,116.78 : x
2. Step 2: Convert to fraction form
   9,256.78/14,116.78 = 14,116.78/x
3. Step 3: Cross multiply
   9,256.78x = 14,116.78 × 14,116.78
4. Step 4: Simplify right side
   9,256.78x = 199,283,512.86
5. Step 5: Solve for x
   x = 199,283,512.86/9,256.78
6. Step 6: Final answer
   x = 21,528.38