Finding the Third Proportional to 11,880 and 16,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,880 : 16,969.50 = 16,969.50 : x
2. Step 2: Convert to fraction form
   11,880/16,969.50 = 16,969.50/x
3. Step 3: Cross multiply
   11,880x = 16,969.50 × 16,969.50
4. Step 4: Simplify right side
   11,880x = 287,963,930.25
5. Step 5: Solve for x
   x = 287,963,930.25/11,880
6. Step 6: Final answer
   x = 24,239.39