Finding the Third Proportional to 1,999.69 and 2,938.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,999.69 : 2,938.78 = 2,938.78 : x
2. Step 2: Convert to fraction form
   1,999.69/2,938.78 = 2,938.78/x
3. Step 3: Cross multiply
   1,999.69x = 2,938.78 × 2,938.78
4. Step 4: Simplify right side
   1,999.69x = 8,636,435.24
5. Step 5: Solve for x
   x = 8,636,435.24/1,999.69
6. Step 6: Final answer
   x = 4,318.89