Finding the Third Proportional to 10,180.69 and 18,847.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,180.69 : 18,847.69 = 18,847.69 : x
2. Step 2: Convert to fraction form
   10,180.69/18,847.69 = 18,847.69/x
3. Step 3: Cross multiply
   10,180.69x = 18,847.69 × 18,847.69
4. Step 4: Simplify right side
   10,180.69x = 355,235,324.10
5. Step 5: Solve for x
   x = 355,235,324.10/10,180.69
6. Step 6: Final answer
   x = 34,893.06