Finding the Third Proportional to 999 and 2,111.63

Step by Step Solution

1. Step 1: Write the proportion equation
   999 : 2,111.63 = 2,111.63 : x
2. Step 2: Convert to fraction form
   999/2,111.63 = 2,111.63/x
3. Step 3: Cross multiply
   999x = 2,111.63 × 2,111.63
4. Step 4: Simplify right side
   999x = 4,458,960.14
5. Step 5: Solve for x
   x = 4,458,960.14/999
6. Step 6: Final answer
   x = 4,463.42