Finding the Third Proportional to 10,920 and 16,333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,920 : 16,333.50 = 16,333.50 : x
2. Step 2: Convert to fraction form
   10,920/16,333.50 = 16,333.50/x
3. Step 3: Cross multiply
   10,920x = 16,333.50 × 16,333.50
4. Step 4: Simplify right side
   10,920x = 266,783,222.25
5. Step 5: Solve for x
   x = 266,783,222.25/10,920
6. Step 6: Final answer
   x = 24,430.70