Finding the Third Proportional to 2,157.10 and 3,642.51

Step by Step Solution

1. Step 1: Write the proportion equation
   2,157.10 : 3,642.51 = 3,642.51 : x
2. Step 2: Convert to fraction form
   2,157.10/3,642.51 = 3,642.51/x
3. Step 3: Cross multiply
   2,157.10x = 3,642.51 × 3,642.51
4. Step 4: Simplify right side
   2,157.10x = 13,267,866.72
5. Step 5: Solve for x
   x = 13,267,866.72/2,157.10
6. Step 6: Final answer
   x = 6,150.79