Finding the Third Proportional to 1,540.69 and 2,539.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.69 : 2,539.69 = 2,539.69 : x
2. Step 2: Convert to fraction form
   1,540.69/2,539.69 = 2,539.69/x
3. Step 3: Cross multiply
   1,540.69x = 2,539.69 × 2,539.69
4. Step 4: Simplify right side
   1,540.69x = 6,450,012.60
5. Step 5: Solve for x
   x = 6,450,012.60/1,540.69
6. Step 6: Final answer
   x = 4,186.45