Finding the Third Proportional to 2,158.17 and 4,656.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,158.17 : 4,656.80 = 4,656.80 : x
2. Step 2: Convert to fraction form
   2,158.17/4,656.80 = 4,656.80/x
3. Step 3: Cross multiply
   2,158.17x = 4,656.80 × 4,656.80
4. Step 4: Simplify right side
   2,158.17x = 21,685,757.14
5. Step 5: Solve for x
   x = 21,685,757.14/2,158.17
6. Step 6: Final answer
   x = 10,048.21