Finding the Third Proportional to 782.25 and 1,667.25

Step by Step Solution

1. Step 1: Write the proportion equation
   782.25 : 1,667.25 = 1,667.25 : x
2. Step 2: Convert to fraction form
   782.25/1,667.25 = 1,667.25/x
3. Step 3: Cross multiply
   782.25x = 1,667.25 × 1,667.25
4. Step 4: Simplify right side
   782.25x = 2,779,722.56
5. Step 5: Solve for x
   x = 2,779,722.56/782.25
6. Step 6: Final answer
   x = 3,553.50