Finding the Third Proportional to 1,738.25 and 3,620.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,738.25 : 3,620.25 = 3,620.25 : x
2. Step 2: Convert to fraction form
   1,738.25/3,620.25 = 3,620.25/x
3. Step 3: Cross multiply
   1,738.25x = 3,620.25 × 3,620.25
4. Step 4: Simplify right side
   1,738.25x = 13,106,210.06
5. Step 5: Solve for x
   x = 13,106,210.06/1,738.25
6. Step 6: Final answer
   x = 7,539.89