Finding the Third Proportional to 1,074.52 and 1,577.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,074.52 : 1,577.60 = 1,577.60 : x
2. Step 2: Convert to fraction form
   1,074.52/1,577.60 = 1,577.60/x
3. Step 3: Cross multiply
   1,074.52x = 1,577.60 × 1,577.60
4. Step 4: Simplify right side
   1,074.52x = 2,488,826.69
5. Step 5: Solve for x
   x = 2,488,826.69/1,074.52
6. Step 6: Final answer
   x = 2,316.23