Finding the Third Proportional to 11,850 and 16,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,850 : 16,684.50 = 16,684.50 : x
2. Step 2: Convert to fraction form
   11,850/16,684.50 = 16,684.50/x
3. Step 3: Cross multiply
   11,850x = 16,684.50 × 16,684.50
4. Step 4: Simplify right side
   11,850x = 278,372,540.25
5. Step 5: Solve for x
   x = 278,372,540.25/11,850
6. Step 6: Final answer
   x = 23,491.35