Finding the Third Proportional to 1,806.56 and 3,734.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,806.56 : 3,734.06 = 3,734.06 : x
2. Step 2: Convert to fraction form
   1,806.56/3,734.06 = 3,734.06/x
3. Step 3: Cross multiply
   1,806.56x = 3,734.06 × 3,734.06
4. Step 4: Simplify right side
   1,806.56x = 13,943,222.75
5. Step 5: Solve for x
   x = 13,943,222.75/1,806.56
6. Step 6: Final answer
   x = 7,718.10