Finding the Third Proportional to 14,606 and 22,007

Step by Step Solution

1. Step 1: Write the proportion equation
   14,606 : 22,007 = 22,007 : x
2. Step 2: Convert to fraction form
   14,606/22,007 = 22,007/x
3. Step 3: Cross multiply
   14,606x = 22,007 × 22,007
4. Step 4: Simplify right side
   14,606x = 484,308,049
5. Step 5: Solve for x
   x = 484,308,049/14,606
6. Step 6: Final answer
   x = 33,158.16