Finding the Third Proportional to 11,766 and 24,490.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,766 : 24,490.50 = 24,490.50 : x
2. Step 2: Convert to fraction form
   11,766/24,490.50 = 24,490.50/x
3. Step 3: Cross multiply
   11,766x = 24,490.50 × 24,490.50
4. Step 4: Simplify right side
   11,766x = 599,784,590.25
5. Step 5: Solve for x
   x = 599,784,590.25/11,766
6. Step 6: Final answer
   x = 50,976.08