Finding the Third Proportional to 736.59 and 1,577.60

Step by Step Solution

1. Step 1: Write the proportion equation
   736.59 : 1,577.60 = 1,577.60 : x
2. Step 2: Convert to fraction form
   736.59/1,577.60 = 1,577.60/x
3. Step 3: Cross multiply
   736.59x = 1,577.60 × 1,577.60
4. Step 4: Simplify right side
   736.59x = 2,488,826.69
5. Step 5: Solve for x
   x = 2,488,826.69/736.59
6. Step 6: Final answer
   x = 3,378.83