Finding the Third Proportional to 10,671.75 and 18,589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,671.75 : 18,589.50 = 18,589.50 : x
2. Step 2: Convert to fraction form
   10,671.75/18,589.50 = 18,589.50/x
3. Step 3: Cross multiply
   10,671.75x = 18,589.50 × 18,589.50
4. Step 4: Simplify right side
   10,671.75x = 345,569,510.25
5. Step 5: Solve for x
   x = 345,569,510.25/10,671.75
6. Step 6: Final answer
   x = 32,381.71