Finding the Third Proportional to 11,882.25 and 17,638.88

Step by Step Solution

1. Step 1: Write the proportion equation
   11,882.25 : 17,638.88 = 17,638.88 : x
2. Step 2: Convert to fraction form
   11,882.25/17,638.88 = 17,638.88/x
3. Step 3: Cross multiply
   11,882.25x = 17,638.88 × 17,638.88
4. Step 4: Simplify right side
   11,882.25x = 311,129,911.27
5. Step 5: Solve for x
   x = 311,129,911.27/11,882.25
6. Step 6: Final answer
   x = 26,184.43