Finding the Third Proportional to 14,499 and 30,774

Step by Step Solution

1. Step 1: Write the proportion equation
   14,499 : 30,774 = 30,774 : x
2. Step 2: Convert to fraction form
   14,499/30,774 = 30,774/x
3. Step 3: Cross multiply
   14,499x = 30,774 × 30,774
4. Step 4: Simplify right side
   14,499x = 947,039,076
5. Step 5: Solve for x
   x = 947,039,076/14,499
6. Step 6: Final answer
   x = 65,317.54