Finding the Third Proportional to 1,557.56 and 3,669.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,557.56 : 3,669.89 = 3,669.89 : x
2. Step 2: Convert to fraction form
   1,557.56/3,669.89 = 3,669.89/x
3. Step 3: Cross multiply
   1,557.56x = 3,669.89 × 3,669.89
4. Step 4: Simplify right side
   1,557.56x = 13,468,097.20
5. Step 5: Solve for x
   x = 13,468,097.20/1,557.56
6. Step 6: Final answer
   x = 8,646.91