Finding the Third Proportional to 2,158.75 and 4,662.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,158.75 : 4,662.13 = 4,662.13 : x
2. Step 2: Convert to fraction form
   2,158.75/4,662.13 = 4,662.13/x
3. Step 3: Cross multiply
   2,158.75x = 4,662.13 × 4,662.13
4. Step 4: Simplify right side
   2,158.75x = 21,735,409.52
5. Step 5: Solve for x
   x = 21,735,409.52/2,158.75
6. Step 6: Final answer
   x = 10,068.52