Finding the Third Proportional to 17,564 and 38,824

Step by Step Solution

1. Step 1: Write the proportion equation
   17,564 : 38,824 = 38,824 : x
2. Step 2: Convert to fraction form
   17,564/38,824 = 38,824/x
3. Step 3: Cross multiply
   17,564x = 38,824 × 38,824
4. Step 4: Simplify right side
   17,564x = 1,507,302,976
5. Step 5: Solve for x
   x = 1,507,302,976/17,564
6. Step 6: Final answer
   x = 85,817.75