Finding the Third Proportional to 10,789 and 14,576

Step by Step Solution

1. Step 1: Write the proportion equation
   10,789 : 14,576 = 14,576 : x
2. Step 2: Convert to fraction form
   10,789/14,576 = 14,576/x
3. Step 3: Cross multiply
   10,789x = 14,576 × 14,576
4. Step 4: Simplify right side
   10,789x = 212,459,776
5. Step 5: Solve for x
   x = 212,459,776/10,789
6. Step 6: Final answer
   x = 19,692.26