Finding the Third Proportional to 1,298.50 and 1,667.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.50 : 1,667.75 = 1,667.75 : x
2. Step 2: Convert to fraction form
   1,298.50/1,667.75 = 1,667.75/x
3. Step 3: Cross multiply
   1,298.50x = 1,667.75 × 1,667.75
4. Step 4: Simplify right side
   1,298.50x = 2,781,390.06
5. Step 5: Solve for x
   x = 2,781,390.06/1,298.50
6. Step 6: Final answer
   x = 2,142.00