Finding the Third Proportional to 1,667.81 and 3,637.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,667.81 : 3,637.69 = 3,637.69 : x
2. Step 2: Convert to fraction form
   1,667.81/3,637.69 = 3,637.69/x
3. Step 3: Cross multiply
   1,667.81x = 3,637.69 × 3,637.69
4. Step 4: Simplify right side
   1,667.81x = 13,232,770.35
5. Step 5: Solve for x
   x = 13,232,770.35/1,667.81
6. Step 6: Final answer
   x = 7,934.21