Finding the Third Proportional to 21,824 and 34,140

Step by Step Solution

1. Step 1: Write the proportion equation
   21,824 : 34,140 = 34,140 : x
2. Step 2: Convert to fraction form
   21,824/34,140 = 34,140/x
3. Step 3: Cross multiply
   21,824x = 34,140 × 34,140
4. Step 4: Simplify right side
   21,824x = 1,165,539,600
5. Step 5: Solve for x
   x = 1,165,539,600/21,824
6. Step 6: Final answer
   x = 53,406.32