Finding the Third Proportional to 11,832 and 17,596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,832 : 17,596.50 = 17,596.50 : x
2. Step 2: Convert to fraction form
   11,832/17,596.50 = 17,596.50/x
3. Step 3: Cross multiply
   11,832x = 17,596.50 × 17,596.50
4. Step 4: Simplify right side
   11,832x = 309,636,812.25
5. Step 5: Solve for x
   x = 309,636,812.25/11,832
6. Step 6: Final answer
   x = 26,169.44