Finding the Third Proportional to 11,913 and 17,728.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,913 : 17,728.50 = 17,728.50 : x
2. Step 2: Convert to fraction form
   11,913/17,728.50 = 17,728.50/x
3. Step 3: Cross multiply
   11,913x = 17,728.50 × 17,728.50
4. Step 4: Simplify right side
   11,913x = 314,299,712.25
5. Step 5: Solve for x
   x = 314,299,712.25/11,913
6. Step 6: Final answer
   x = 26,382.92