Finding the Third Proportional to 9,633 and 12,589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,633 : 12,589.50 = 12,589.50 : x
2. Step 2: Convert to fraction form
   9,633/12,589.50 = 12,589.50/x
3. Step 3: Cross multiply
   9,633x = 12,589.50 × 12,589.50
4. Step 4: Simplify right side
   9,633x = 158,495,510.25
5. Step 5: Solve for x
   x = 158,495,510.25/9,633
6. Step 6: Final answer
   x = 16,453.39