Finding the Third Proportional to 23,823 and 55,391

Step by Step Solution

1. Step 1: Write the proportion equation
   23,823 : 55,391 = 55,391 : x
2. Step 2: Convert to fraction form
   23,823/55,391 = 55,391/x
3. Step 3: Cross multiply
   23,823x = 55,391 × 55,391
4. Step 4: Simplify right side
   23,823x = 3,068,162,881
5. Step 5: Solve for x
   x = 3,068,162,881/23,823
6. Step 6: Final answer
   x = 128,789.95