Finding the Third Proportional to 21,564 and 34,290

Step by Step Solution

1. Step 1: Write the proportion equation
   21,564 : 34,290 = 34,290 : x
2. Step 2: Convert to fraction form
   21,564/34,290 = 34,290/x
3. Step 3: Cross multiply
   21,564x = 34,290 × 34,290
4. Step 4: Simplify right side
   21,564x = 1,175,804,100
5. Step 5: Solve for x
   x = 1,175,804,100/21,564
6. Step 6: Final answer
   x = 54,526.25