Finding the Third Proportional to 1,551.59 and 3,659.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,551.59 : 3,659.63 = 3,659.63 : x
2. Step 2: Convert to fraction form
   1,551.59/3,659.63 = 3,659.63/x
3. Step 3: Cross multiply
   1,551.59x = 3,659.63 × 3,659.63
4. Step 4: Simplify right side
   1,551.59x = 13,392,855.14
5. Step 5: Solve for x
   x = 13,392,855.14/1,551.59
6. Step 6: Final answer
   x = 8,631.72