Finding the Third Proportional to 11,766.83 and 25,865.89

Step by Step Solution

1. Step 1: Write the proportion equation
   11,766.83 : 25,865.89 = 25,865.89 : x
2. Step 2: Convert to fraction form
   11,766.83/25,865.89 = 25,865.89/x
3. Step 3: Cross multiply
   11,766.83x = 25,865.89 × 25,865.89
4. Step 4: Simplify right side
   11,766.83x = 669,044,499.90
5. Step 5: Solve for x
   x = 669,044,499.90/11,766.83
6. Step 6: Final answer
   x = 56,858.51