Finding the Third Proportional to 1,738.06 and 3,619.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,738.06 : 3,619.94 = 3,619.94 : x
2. Step 2: Convert to fraction form
   1,738.06/3,619.94 = 3,619.94/x
3. Step 3: Cross multiply
   1,738.06x = 3,619.94 × 3,619.94
4. Step 4: Simplify right side
   1,738.06x = 13,103,947.50
5. Step 5: Solve for x
   x = 13,103,947.50/1,738.06
6. Step 6: Final answer
   x = 7,539.40