Finding the Third Proportional to 14,426 and 30,589

Step by Step Solution

1. Step 1: Write the proportion equation
   14,426 : 30,589 = 30,589 : x
2. Step 2: Convert to fraction form
   14,426/30,589 = 30,589/x
3. Step 3: Cross multiply
   14,426x = 30,589 × 30,589
4. Step 4: Simplify right side
   14,426x = 935,686,921
5. Step 5: Solve for x
   x = 935,686,921/14,426
6. Step 6: Final answer
   x = 64,861.15