Finding the Third Proportional to 9,196.88 and 14,576.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,196.88 : 14,576.63 = 14,576.63 : x
2. Step 2: Convert to fraction form
   9,196.88/14,576.63 = 14,576.63/x
3. Step 3: Cross multiply
   9,196.88x = 14,576.63 × 14,576.63
4. Step 4: Simplify right side
   9,196.88x = 212,477,996.39
5. Step 5: Solve for x
   x = 212,477,996.39/9,196.88
6. Step 6: Final answer
   x = 23,103.28