Finding the Third Proportional to 1,567.27 and 2,429.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,567.27 : 2,429.58 = 2,429.58 : x
2. Step 2: Convert to fraction form
   1,567.27/2,429.58 = 2,429.58/x
3. Step 3: Cross multiply
   1,567.27x = 2,429.58 × 2,429.58
4. Step 4: Simplify right side
   1,567.27x = 5,902,849.87
5. Step 5: Solve for x
   x = 5,902,849.87/1,567.27
6. Step 6: Final answer
   x = 3,766.34