Finding the Third Proportional to 14,634 and 21,789

Step by Step Solution

1. Step 1: Write the proportion equation
   14,634 : 21,789 = 21,789 : x
2. Step 2: Convert to fraction form
   14,634/21,789 = 21,789/x
3. Step 3: Cross multiply
   14,634x = 21,789 × 21,789
4. Step 4: Simplify right side
   14,634x = 474,760,521
5. Step 5: Solve for x
   x = 474,760,521/14,634
6. Step 6: Final answer
   x = 32,442.29