Finding the Third Proportional to 1,036 and 1,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036 : 1,577.50 = 1,577.50 : x
2. Step 2: Convert to fraction form
   1,036/1,577.50 = 1,577.50/x
3. Step 3: Cross multiply
   1,036x = 1,577.50 × 1,577.50
4. Step 4: Simplify right side
   1,036x = 2,488,506.25
5. Step 5: Solve for x
   x = 2,488,506.25/1,036
6. Step 6: Final answer
   x = 2,402.03