Finding the Third Proportional to 23,874.75 and 27,838.69

Step by Step Solution

1. Step 1: Write the proportion equation
   23,874.75 : 27,838.69 = 27,838.69 : x
2. Step 2: Convert to fraction form
   23,874.75/27,838.69 = 27,838.69/x
3. Step 3: Cross multiply
   23,874.75x = 27,838.69 × 27,838.69
4. Step 4: Simplify right side
   23,874.75x = 774,992,521.72
5. Step 5: Solve for x
   x = 774,992,521.72/23,874.75
6. Step 6: Final answer
   x = 32,460.76