Finding the Third Proportional to 1,252.69 and 2,086.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,252.69 : 2,086.31 = 2,086.31 : x
2. Step 2: Convert to fraction form
   1,252.69/2,086.31 = 2,086.31/x
3. Step 3: Cross multiply
   1,252.69x = 2,086.31 × 2,086.31
4. Step 4: Simplify right side
   1,252.69x = 4,352,699.85
5. Step 5: Solve for x
   x = 4,352,699.85/1,252.69
6. Step 6: Final answer
   x = 3,474.69