Finding the Third Proportional to 5,752 and 12,086

Step by Step Solution

1. Step 1: Write the proportion equation
   5,752 : 12,086 = 12,086 : x
2. Step 2: Convert to fraction form
   5,752/12,086 = 12,086/x
3. Step 3: Cross multiply
   5,752x = 12,086 × 12,086
4. Step 4: Simplify right side
   5,752x = 146,071,396
5. Step 5: Solve for x
   x = 146,071,396/5,752
6. Step 6: Final answer
   x = 25,394.89