Finding the Third Proportional to 25,886 and 38,789

Step by Step Solution

1. Step 1: Write the proportion equation
   25,886 : 38,789 = 38,789 : x
2. Step 2: Convert to fraction form
   25,886/38,789 = 38,789/x
3. Step 3: Cross multiply
   25,886x = 38,789 × 38,789
4. Step 4: Simplify right side
   25,886x = 1,504,586,521
5. Step 5: Solve for x
   x = 1,504,586,521/25,886
6. Step 6: Final answer
   x = 58,123.56