Finding the Third Proportional to 12,804 and 19,774

Step by Step Solution

1. Step 1: Write the proportion equation
   12,804 : 19,774 = 19,774 : x
2. Step 2: Convert to fraction form
   12,804/19,774 = 19,774/x
3. Step 3: Cross multiply
   12,804x = 19,774 × 19,774
4. Step 4: Simplify right side
   12,804x = 391,011,076
5. Step 5: Solve for x
   x = 391,011,076/12,804
6. Step 6: Final answer
   x = 30,538.20