Finding the Third Proportional to 10,596 and 14,502

Step by Step Solution

1. Step 1: Write the proportion equation
   10,596 : 14,502 = 14,502 : x
2. Step 2: Convert to fraction form
   10,596/14,502 = 14,502/x
3. Step 3: Cross multiply
   10,596x = 14,502 × 14,502
4. Step 4: Simplify right side
   10,596x = 210,308,004
5. Step 5: Solve for x
   x = 210,308,004/10,596
6. Step 6: Final answer
   x = 19,847.87