Finding the Third Proportional to 11,975 and 16,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,975 : 16,109.50 = 16,109.50 : x
2. Step 2: Convert to fraction form
   11,975/16,109.50 = 16,109.50/x
3. Step 3: Cross multiply
   11,975x = 16,109.50 × 16,109.50
4. Step 4: Simplify right side
   11,975x = 259,515,990.25
5. Step 5: Solve for x
   x = 259,515,990.25/11,975
6. Step 6: Final answer
   x = 21,671.48