Finding the Third Proportional to 14,500 and 30,777

Step by Step Solution

1. Step 1: Write the proportion equation
   14,500 : 30,777 = 30,777 : x
2. Step 2: Convert to fraction form
   14,500/30,777 = 30,777/x
3. Step 3: Cross multiply
   14,500x = 30,777 × 30,777
4. Step 4: Simplify right side
   14,500x = 947,223,729
5. Step 5: Solve for x
   x = 947,223,729/14,500
6. Step 6: Final answer
   x = 65,325.77