Finding the Third Proportional to 1,585.41 and 2,385.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.41 : 2,385.28 = 2,385.28 : x
2. Step 2: Convert to fraction form
   1,585.41/2,385.28 = 2,385.28/x
3. Step 3: Cross multiply
   1,585.41x = 2,385.28 × 2,385.28
4. Step 4: Simplify right side
   1,585.41x = 5,689,566.64
5. Step 5: Solve for x
   x = 5,689,566.64/1,585.41
6. Step 6: Final answer
   x = 3,588.71