Finding the Third Proportional to 9,140 and 13,777

Step by Step Solution

1. Step 1: Write the proportion equation
   9,140 : 13,777 = 13,777 : x
2. Step 2: Convert to fraction form
   9,140/13,777 = 13,777/x
3. Step 3: Cross multiply
   9,140x = 13,777 × 13,777
4. Step 4: Simplify right side
   9,140x = 189,805,729
5. Step 5: Solve for x
   x = 189,805,729/9,140
6. Step 6: Final answer
   x = 20,766.49