Finding the Third Proportional to 13,873.78 and 22,540.78

Step by Step Solution

1. Step 1: Write the proportion equation
   13,873.78 : 22,540.78 = 22,540.78 : x
2. Step 2: Convert to fraction form
   13,873.78/22,540.78 = 22,540.78/x
3. Step 3: Cross multiply
   13,873.78x = 22,540.78 × 22,540.78
4. Step 4: Simplify right side
   13,873.78x = 508,086,819.36
5. Step 5: Solve for x
   x = 508,086,819.36/13,873.78
6. Step 6: Final answer
   x = 36,622.09