Finding the Third Proportional to 2,155.88 and 4,656.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,155.88 : 4,656.75 = 4,656.75 : x
2. Step 2: Convert to fraction form
   2,155.88/4,656.75 = 4,656.75/x
3. Step 3: Cross multiply
   2,155.88x = 4,656.75 × 4,656.75
4. Step 4: Simplify right side
   2,155.88x = 21,685,320.56
5. Step 5: Solve for x
   x = 21,685,320.56/2,155.88
6. Step 6: Final answer
   x = 10,058.71