Finding the Third Proportional to 2,158 and 4,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,158 : 4,585.50 = 4,585.50 : x
2. Step 2: Convert to fraction form
   2,158/4,585.50 = 4,585.50/x
3. Step 3: Cross multiply
   2,158x = 4,585.50 × 4,585.50
4. Step 4: Simplify right side
   2,158x = 21,026,810.25
5. Step 5: Solve for x
   x = 21,026,810.25/2,158
6. Step 6: Final answer
   x = 9,743.66