Finding the Third Proportional to 11,908 and 17,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,908 : 17,969.50 = 17,969.50 : x
2. Step 2: Convert to fraction form
   11,908/17,969.50 = 17,969.50/x
3. Step 3: Cross multiply
   11,908x = 17,969.50 × 17,969.50
4. Step 4: Simplify right side
   11,908x = 322,902,930.25
5. Step 5: Solve for x
   x = 322,902,930.25/11,908
6. Step 6: Final answer
   x = 27,116.47