Finding the Third Proportional to 1,765.55 and 2,646.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,765.55 : 2,646.42 = 2,646.42 : x
2. Step 2: Convert to fraction form
   1,765.55/2,646.42 = 2,646.42/x
3. Step 3: Cross multiply
   1,765.55x = 2,646.42 × 2,646.42
4. Step 4: Simplify right side
   1,765.55x = 7,003,548.74
5. Step 5: Solve for x
   x = 7,003,548.74/1,765.55
6. Step 6: Final answer
   x = 3,966.79