Finding the Third Proportional to 23,744 and 35,774

Step by Step Solution

1. Step 1: Write the proportion equation
   23,744 : 35,774 = 35,774 : x
2. Step 2: Convert to fraction form
   23,744/35,774 = 35,774/x
3. Step 3: Cross multiply
   23,744x = 35,774 × 35,774
4. Step 4: Simplify right side
   23,744x = 1,279,779,076
5. Step 5: Solve for x
   x = 1,279,779,076/23,744
6. Step 6: Final answer
   x = 53,899.05