Finding the Third Proportional to 10,854 and 16,237.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,854 : 16,237.50 = 16,237.50 : x
2. Step 2: Convert to fraction form
   10,854/16,237.50 = 16,237.50/x
3. Step 3: Cross multiply
   10,854x = 16,237.50 × 16,237.50
4. Step 4: Simplify right side
   10,854x = 263,656,406.25
5. Step 5: Solve for x
   x = 263,656,406.25/10,854
6. Step 6: Final answer
   x = 24,291.17