Finding the Third Proportional to 1,737.75 and 3,619.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,737.75 : 3,619.31 = 3,619.31 : x
2. Step 2: Convert to fraction form
   1,737.75/3,619.31 = 3,619.31/x
3. Step 3: Cross multiply
   1,737.75x = 3,619.31 × 3,619.31
4. Step 4: Simplify right side
   1,737.75x = 13,099,422.97
5. Step 5: Solve for x
   x = 13,099,422.97/1,737.75
6. Step 6: Final answer
   x = 7,538.15