Finding the Third Proportional to 23,676 and 54,817.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,676 : 54,817.50 = 54,817.50 : x
2. Step 2: Convert to fraction form
   23,676/54,817.50 = 54,817.50/x
3. Step 3: Cross multiply
   23,676x = 54,817.50 × 54,817.50
4. Step 4: Simplify right side
   23,676x = 3,004,958,306.25
5. Step 5: Solve for x
   x = 3,004,958,306.25/23,676
6. Step 6: Final answer
   x = 126,920.02