Finding the Third Proportional to 21,814 and 34,597.38

Step by Step Solution

1. Step 1: Write the proportion equation
   21,814 : 34,597.38 = 34,597.38 : x
2. Step 2: Convert to fraction form
   21,814/34,597.38 = 34,597.38/x
3. Step 3: Cross multiply
   21,814x = 34,597.38 × 34,597.38
4. Step 4: Simplify right side
   21,814x = 1,196,978,356.89
5. Step 5: Solve for x
   x = 1,196,978,356.89/21,814
6. Step 6: Final answer
   x = 54,872.03