Finding the Third Proportional to 11,911.50 and 13,825.13

Step by Step Solution

1. Step 1: Write the proportion equation
   11,911.50 : 13,825.13 = 13,825.13 : x
2. Step 2: Convert to fraction form
   11,911.50/13,825.13 = 13,825.13/x
3. Step 3: Cross multiply
   11,911.50x = 13,825.13 × 13,825.13
4. Step 4: Simplify right side
   11,911.50x = 191,134,081.27
5. Step 5: Solve for x
   x = 191,134,081.27/11,911.50
6. Step 6: Final answer
   x = 16,046.18