Finding the Third Proportional to 779.34 and 1,667.11

Step by Step Solution

1. Step 1: Write the proportion equation
   779.34 : 1,667.11 = 1,667.11 : x
2. Step 2: Convert to fraction form
   779.34/1,667.11 = 1,667.11/x
3. Step 3: Cross multiply
   779.34x = 1,667.11 × 1,667.11
4. Step 4: Simplify right side
   779.34x = 2,779,253.67
5. Step 5: Solve for x
   x = 2,779,253.67/779.34
6. Step 6: Final answer
   x = 3,566.15