Finding the Third Proportional to 1,667.81 and 2,506.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,667.81 : 2,506.31 = 2,506.31 : x
2. Step 2: Convert to fraction form
   1,667.81/2,506.31 = 2,506.31/x
3. Step 3: Cross multiply
   1,667.81x = 2,506.31 × 2,506.31
4. Step 4: Simplify right side
   1,667.81x = 6,281,602.35
5. Step 5: Solve for x
   x = 6,281,602.35/1,667.81
6. Step 6: Final answer
   x = 3,766.37