Finding the Third Proportional to 1,589.63 and 2,417.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,589.63 : 2,417.34 = 2,417.34 : x
2. Step 2: Convert to fraction form
   1,589.63/2,417.34 = 2,417.34/x
3. Step 3: Cross multiply
   1,589.63x = 2,417.34 × 2,417.34
4. Step 4: Simplify right side
   1,589.63x = 5,843,550.81
5. Step 5: Solve for x
   x = 5,843,550.81/1,589.63
6. Step 6: Final answer
   x = 3,676.06