Finding the Third Proportional to 786.81 and 1,667.06

Step by Step Solution

1. Step 1: Write the proportion equation
   786.81 : 1,667.06 = 1,667.06 : x
2. Step 2: Convert to fraction form
   786.81/1,667.06 = 1,667.06/x
3. Step 3: Cross multiply
   786.81x = 1,667.06 × 1,667.06
4. Step 4: Simplify right side
   786.81x = 2,779,097.38
5. Step 5: Solve for x
   x = 2,779,097.38/786.81
6. Step 6: Final answer
   x = 3,532.10