Finding the Third Proportional to 1,782.81 and 2,667.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,782.81 : 2,667.01 = 2,667.01 : x
2. Step 2: Convert to fraction form
   1,782.81/2,667.01 = 2,667.01/x
3. Step 3: Cross multiply
   1,782.81x = 2,667.01 × 2,667.01
4. Step 4: Simplify right side
   1,782.81x = 7,112,931.97
5. Step 5: Solve for x
   x = 7,112,931.97/1,782.81
6. Step 6: Final answer
   x = 3,989.73