Finding the Third Proportional to 1,738.02 and 3,822.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,738.02 : 3,822.03 = 3,822.03 : x
2. Step 2: Convert to fraction form
   1,738.02/3,822.03 = 3,822.03/x
3. Step 3: Cross multiply
   1,738.02x = 3,822.03 × 3,822.03
4. Step 4: Simplify right side
   1,738.02x = 14,607,907.95
5. Step 5: Solve for x
   x = 14,607,907.95/1,738.02
6. Step 6: Final answer
   x = 8,404.92