Finding the Third Proportional to 1,737.28 and 3,618.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,737.28 : 3,618.56 = 3,618.56 : x
2. Step 2: Convert to fraction form
   1,737.28/3,618.56 = 3,618.56/x
3. Step 3: Cross multiply
   1,737.28x = 3,618.56 × 3,618.56
4. Step 4: Simplify right side
   1,737.28x = 13,093,994.57
5. Step 5: Solve for x
   x = 13,093,994.57/1,737.28
6. Step 6: Final answer
   x = 7,537.06