Finding the Third Proportional to 1,659.56 and 3,637.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,659.56 : 3,637.69 = 3,637.69 : x
2. Step 2: Convert to fraction form
   1,659.56/3,637.69 = 3,637.69/x
3. Step 3: Cross multiply
   1,659.56x = 3,637.69 × 3,637.69
4. Step 4: Simplify right side
   1,659.56x = 13,232,770.35
5. Step 5: Solve for x
   x = 13,232,770.35/1,659.56
6. Step 6: Final answer
   x = 7,973.65