Finding the Third Proportional to 34,647 and 72,777

Step by Step Solution

1. Step 1: Write the proportion equation
   34,647 : 72,777 = 72,777 : x
2. Step 2: Convert to fraction form
   34,647/72,777 = 72,777/x
3. Step 3: Cross multiply
   34,647x = 72,777 × 72,777
4. Step 4: Simplify right side
   34,647x = 5,296,491,729
5. Step 5: Solve for x
   x = 5,296,491,729/34,647
6. Step 6: Final answer
   x = 152,870.14