Finding the Third Proportional to 11,671.50 and 17,849.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,671.50 : 17,849.25 = 17,849.25 : x
2. Step 2: Convert to fraction form
   11,671.50/17,849.25 = 17,849.25/x
3. Step 3: Cross multiply
   11,671.50x = 17,849.25 × 17,849.25
4. Step 4: Simplify right side
   11,671.50x = 318,595,725.56
5. Step 5: Solve for x
   x = 318,595,725.56/11,671.50
6. Step 6: Final answer
   x = 27,296.90