Finding the Third Proportional to 2,025.07 and 4,190.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,025.07 : 4,190.63 = 4,190.63 : x
2. Step 2: Convert to fraction form
   2,025.07/4,190.63 = 4,190.63/x
3. Step 3: Cross multiply
   2,025.07x = 4,190.63 × 4,190.63
4. Step 4: Simplify right side
   2,025.07x = 17,561,337.89
5. Step 5: Solve for x
   x = 17,561,337.89/2,025.07
6. Step 6: Final answer
   x = 8,671.96