Finding the Third Proportional to 9,180 and 14,774

Step by Step Solution

1. Step 1: Write the proportion equation
   9,180 : 14,774 = 14,774 : x
2. Step 2: Convert to fraction form
   9,180/14,774 = 14,774/x
3. Step 3: Cross multiply
   9,180x = 14,774 × 14,774
4. Step 4: Simplify right side
   9,180x = 218,271,076
5. Step 5: Solve for x
   x = 218,271,076/9,180
6. Step 6: Final answer
   x = 23,776.81