Finding the Third Proportional to 11,766 and 20,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,766 : 20,743.50 = 20,743.50 : x
2. Step 2: Convert to fraction form
   11,766/20,743.50 = 20,743.50/x
3. Step 3: Cross multiply
   11,766x = 20,743.50 × 20,743.50
4. Step 4: Simplify right side
   11,766x = 430,292,792.25
5. Step 5: Solve for x
   x = 430,292,792.25/11,766
6. Step 6: Final answer
   x = 36,570.86