Finding the Third Proportional to 11,745 and 16,105.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,745 : 16,105.50 = 16,105.50 : x
2. Step 2: Convert to fraction form
   11,745/16,105.50 = 16,105.50/x
3. Step 3: Cross multiply
   11,745x = 16,105.50 × 16,105.50
4. Step 4: Simplify right side
   11,745x = 259,387,130.25
5. Step 5: Solve for x
   x = 259,387,130.25/11,745
6. Step 6: Final answer
   x = 22,084.90