Finding the Third Proportional to 11,786 and 25,838

Step by Step Solution

1. Step 1: Write the proportion equation
   11,786 : 25,838 = 25,838 : x
2. Step 2: Convert to fraction form
   11,786/25,838 = 25,838/x
3. Step 3: Cross multiply
   11,786x = 25,838 × 25,838
4. Step 4: Simplify right side
   11,786x = 667,602,244
5. Step 5: Solve for x
   x = 667,602,244/11,786
6. Step 6: Final answer
   x = 56,643.67