Finding the Third Proportional to 1,974.94 and 4,111.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,974.94 : 4,111.88 = 4,111.88 : x
2. Step 2: Convert to fraction form
   1,974.94/4,111.88 = 4,111.88/x
3. Step 3: Cross multiply
   1,974.94x = 4,111.88 × 4,111.88
4. Step 4: Simplify right side
   1,974.94x = 16,907,516.02
5. Step 5: Solve for x
   x = 16,907,516.02/1,974.94
6. Step 6: Final answer
   x = 8,561.04