Finding the Third Proportional to 781.59 and 1,667.81

Step by Step Solution

1. Step 1: Write the proportion equation
   781.59 : 1,667.81 = 1,667.81 : x
2. Step 2: Convert to fraction form
   781.59/1,667.81 = 1,667.81/x
3. Step 3: Cross multiply
   781.59x = 1,667.81 × 1,667.81
4. Step 4: Simplify right side
   781.59x = 2,781,598.54
5. Step 5: Solve for x
   x = 2,781,598.54/781.59
6. Step 6: Final answer
   x = 3,558.88