Finding the Third Proportional to 1,585.13 and 2,329.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.13 : 2,329.31 = 2,329.31 : x
2. Step 2: Convert to fraction form
   1,585.13/2,329.31 = 2,329.31/x
3. Step 3: Cross multiply
   1,585.13x = 2,329.31 × 2,329.31
4. Step 4: Simplify right side
   1,585.13x = 5,425,696.72
5. Step 5: Solve for x
   x = 5,425,696.72/1,585.13
6. Step 6: Final answer
   x = 3,422.88