Finding the Third Proportional to 1,737.75 and 3,619.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,737.75 : 3,619.50 = 3,619.50 : x
2. Step 2: Convert to fraction form
   1,737.75/3,619.50 = 3,619.50/x
3. Step 3: Cross multiply
   1,737.75x = 3,619.50 × 3,619.50
4. Step 4: Simplify right side
   1,737.75x = 13,100,780.25
5. Step 5: Solve for x
   x = 13,100,780.25/1,737.75
6. Step 6: Final answer
   x = 7,538.93