Finding the Third Proportional to 1,589.63 and 3,485.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,589.63 : 3,485.53 = 3,485.53 : x
2. Step 2: Convert to fraction form
   1,589.63/3,485.53 = 3,485.53/x
3. Step 3: Cross multiply
   1,589.63x = 3,485.53 × 3,485.53
4. Step 4: Simplify right side
   1,589.63x = 12,148,928.09
5. Step 5: Solve for x
   x = 12,148,928.09/1,589.63
6. Step 6: Final answer
   x = 7,642.64