Finding the Third Proportional to 10,388 and 14,576.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,388 : 14,576.25 = 14,576.25 : x
2. Step 2: Convert to fraction form
   10,388/14,576.25 = 14,576.25/x
3. Step 3: Cross multiply
   10,388x = 14,576.25 × 14,576.25
4. Step 4: Simplify right side
   10,388x = 212,467,064.06
5. Step 5: Solve for x
   x = 212,467,064.06/10,388
6. Step 6: Final answer
   x = 20,453.13