Finding the Third Proportional to 34,744 and 76,024

Step by Step Solution

1. Step 1: Write the proportion equation
   34,744 : 76,024 = 76,024 : x
2. Step 2: Convert to fraction form
   34,744/76,024 = 76,024/x
3. Step 3: Cross multiply
   34,744x = 76,024 × 76,024
4. Step 4: Simplify right side
   34,744x = 5,779,648,576
5. Step 5: Solve for x
   x = 5,779,648,576/34,744
6. Step 6: Final answer
   x = 166,349.54