Finding the Third Proportional to 21,427 and 34,216

Step by Step Solution

1. Step 1: Write the proportion equation
   21,427 : 34,216 = 34,216 : x
2. Step 2: Convert to fraction form
   21,427/34,216 = 34,216/x
3. Step 3: Cross multiply
   21,427x = 34,216 × 34,216
4. Step 4: Simplify right side
   21,427x = 1,170,734,656
5. Step 5: Solve for x
   x = 1,170,734,656/21,427
6. Step 6: Final answer
   x = 54,638.29