Finding the Third Proportional to 16,260 and 34,824

Step by Step Solution

1. Step 1: Write the proportion equation
   16,260 : 34,824 = 34,824 : x
2. Step 2: Convert to fraction form
   16,260/34,824 = 34,824/x
3. Step 3: Cross multiply
   16,260x = 34,824 × 34,824
4. Step 4: Simplify right side
   16,260x = 1,212,710,976
5. Step 5: Solve for x
   x = 1,212,710,976/16,260
6. Step 6: Final answer
   x = 74,582.47