Finding the Third Proportional to 1,913.63 and 4,025.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,913.63 : 4,025.25 = 4,025.25 : x
2. Step 2: Convert to fraction form
   1,913.63/4,025.25 = 4,025.25/x
3. Step 3: Cross multiply
   1,913.63x = 4,025.25 × 4,025.25
4. Step 4: Simplify right side
   1,913.63x = 16,202,637.56
5. Step 5: Solve for x
   x = 16,202,637.56/1,913.63
6. Step 6: Final answer
   x = 8,466.99