Finding the Third Proportional to 1,738.13 and 3,620.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,738.13 : 3,620.06 = 3,620.06 : x
2. Step 2: Convert to fraction form
   1,738.13/3,620.06 = 3,620.06/x
3. Step 3: Cross multiply
   1,738.13x = 3,620.06 × 3,620.06
4. Step 4: Simplify right side
   1,738.13x = 13,104,852.50
5. Step 5: Solve for x
   x = 13,104,852.50/1,738.13
6. Step 6: Final answer
   x = 7,539.65