Finding the Third Proportional to 19,404 and 30,774

Step by Step Solution

1. Step 1: Write the proportion equation
   19,404 : 30,774 = 30,774 : x
2. Step 2: Convert to fraction form
   19,404/30,774 = 30,774/x
3. Step 3: Cross multiply
   19,404x = 30,774 × 30,774
4. Step 4: Simplify right side
   19,404x = 947,039,076
5. Step 5: Solve for x
   x = 947,039,076/19,404
6. Step 6: Final answer
   x = 48,806.38