Finding the Third Proportional to 11,781 and 25,606.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,781 : 25,606.50 = 25,606.50 : x
2. Step 2: Convert to fraction form
   11,781/25,606.50 = 25,606.50/x
3. Step 3: Cross multiply
   11,781x = 25,606.50 × 25,606.50
4. Step 4: Simplify right side
   11,781x = 655,692,842.25
5. Step 5: Solve for x
   x = 655,692,842.25/11,781
6. Step 6: Final answer
   x = 55,656.81