Finding the Third Proportional to 23,770 and 51,734

Step by Step Solution

1. Step 1: Write the proportion equation
   23,770 : 51,734 = 51,734 : x
2. Step 2: Convert to fraction form
   23,770/51,734 = 51,734/x
3. Step 3: Cross multiply
   23,770x = 51,734 × 51,734
4. Step 4: Simplify right side
   23,770x = 2,676,406,756
5. Step 5: Solve for x
   x = 2,676,406,756/23,770
6. Step 6: Final answer
   x = 112,595.99