Finding the Third Proportional to 14,591 and 22,589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,591 : 22,589.50 = 22,589.50 : x
2. Step 2: Convert to fraction form
   14,591/22,589.50 = 22,589.50/x
3. Step 3: Cross multiply
   14,591x = 22,589.50 × 22,589.50
4. Step 4: Simplify right side
   14,591x = 510,285,510.25
5. Step 5: Solve for x
   x = 510,285,510.25/14,591
6. Step 6: Final answer
   x = 34,972.62