Finding the Third Proportional to 1,590.75 and 2,468.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,590.75 : 2,468.81 = 2,468.81 : x
2. Step 2: Convert to fraction form
   1,590.75/2,468.81 = 2,468.81/x
3. Step 3: Cross multiply
   1,590.75x = 2,468.81 × 2,468.81
4. Step 4: Simplify right side
   1,590.75x = 6,095,035.16
5. Step 5: Solve for x
   x = 6,095,035.16/1,590.75
6. Step 6: Final answer
   x = 3,831.55