Finding the Third Proportional to 1,832.69 and 4,321.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,832.69 : 4,321.94 = 4,321.94 : x
2. Step 2: Convert to fraction form
   1,832.69/4,321.94 = 4,321.94/x
3. Step 3: Cross multiply
   1,832.69x = 4,321.94 × 4,321.94
4. Step 4: Simplify right side
   1,832.69x = 18,679,143.75
5. Step 5: Solve for x
   x = 18,679,143.75/1,832.69
6. Step 6: Final answer
   x = 10,192.21