Finding the Third Proportional to 11,905 and 17,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,905 : 17,965.50 = 17,965.50 : x
2. Step 2: Convert to fraction form
   11,905/17,965.50 = 17,965.50/x
3. Step 3: Cross multiply
   11,905x = 17,965.50 × 17,965.50
4. Step 4: Simplify right side
   11,905x = 322,759,190.25
5. Step 5: Solve for x
   x = 322,759,190.25/11,905
6. Step 6: Final answer
   x = 27,111.23