Finding the Third Proportional to 10,882.69 and 23,599.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,882.69 : 23,599.69 = 23,599.69 : x
2. Step 2: Convert to fraction form
   10,882.69/23,599.69 = 23,599.69/x
3. Step 3: Cross multiply
   10,882.69x = 23,599.69 × 23,599.69
4. Step 4: Simplify right side
   10,882.69x = 556,945,250.10
5. Step 5: Solve for x
   x = 556,945,250.10/10,882.69
6. Step 6: Final answer
   x = 51,177.18