Finding the Third Proportional to 34,824 and 76,560

Step by Step Solution

1. Step 1: Write the proportion equation
   34,824 : 76,560 = 76,560 : x
2. Step 2: Convert to fraction form
   34,824/76,560 = 76,560/x
3. Step 3: Cross multiply
   34,824x = 76,560 × 76,560
4. Step 4: Simplify right side
   34,824x = 5,861,433,600
5. Step 5: Solve for x
   x = 5,861,433,600/34,824
6. Step 6: Final answer
   x = 168,315.92