Finding the Third Proportional to 11,676.25 and 17,635.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,676.25 : 17,635.50 = 17,635.50 : x
2. Step 2: Convert to fraction form
   11,676.25/17,635.50 = 17,635.50/x
3. Step 3: Cross multiply
   11,676.25x = 17,635.50 × 17,635.50
4. Step 4: Simplify right side
   11,676.25x = 311,010,860.25
5. Step 5: Solve for x
   x = 311,010,860.25/11,676.25
6. Step 6: Final answer
   x = 26,636.19