Finding the Third Proportional to 1,589.81 and 2,432.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,589.81 : 2,432.06 = 2,432.06 : x
2. Step 2: Convert to fraction form
   1,589.81/2,432.06 = 2,432.06/x
3. Step 3: Cross multiply
   1,589.81x = 2,432.06 × 2,432.06
4. Step 4: Simplify right side
   1,589.81x = 5,914,928.00
5. Step 5: Solve for x
   x = 5,914,928.00/1,589.81
6. Step 6: Final answer
   x = 3,720.52