Finding the Third Proportional to 11,789 and 25,659.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,789 : 25,659.50 = 25,659.50 : x
2. Step 2: Convert to fraction form
   11,789/25,659.50 = 25,659.50/x
3. Step 3: Cross multiply
   11,789x = 25,659.50 × 25,659.50
4. Step 4: Simplify right side
   11,789x = 658,409,940.25
5. Step 5: Solve for x
   x = 658,409,940.25/11,789
6. Step 6: Final answer
   x = 55,849.52