Finding the Third Proportional to 1,599.89 and 2,422.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,599.89 : 2,422.20 = 2,422.20 : x
2. Step 2: Convert to fraction form
   1,599.89/2,422.20 = 2,422.20/x
3. Step 3: Cross multiply
   1,599.89x = 2,422.20 × 2,422.20
4. Step 4: Simplify right side
   1,599.89x = 5,867,030.13
5. Step 5: Solve for x
   x = 5,867,030.13/1,599.89
6. Step 6: Final answer
   x = 3,667.14