Finding the Third Proportional to 1,916.81 and 3,914.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,916.81 : 3,914.25 = 3,914.25 : x
2. Step 2: Convert to fraction form
   1,916.81/3,914.25 = 3,914.25/x
3. Step 3: Cross multiply
   1,916.81x = 3,914.25 × 3,914.25
4. Step 4: Simplify right side
   1,916.81x = 15,321,353.06
5. Step 5: Solve for x
   x = 15,321,353.06/1,916.81
6. Step 6: Final answer
   x = 7,993.14