Finding the Third Proportional to 10,788 and 14,526

Step by Step Solution

1. Step 1: Write the proportion equation
   10,788 : 14,526 = 14,526 : x
2. Step 2: Convert to fraction form
   10,788/14,526 = 14,526/x
3. Step 3: Cross multiply
   10,788x = 14,526 × 14,526
4. Step 4: Simplify right side
   10,788x = 211,004,676
5. Step 5: Solve for x
   x = 211,004,676/10,788
6. Step 6: Final answer
   x = 19,559.20