Finding the Third Proportional to 35,096 and 76,024

Step by Step Solution

1. Step 1: Write the proportion equation
   35,096 : 76,024 = 76,024 : x
2. Step 2: Convert to fraction form
   35,096/76,024 = 76,024/x
3. Step 3: Cross multiply
   35,096x = 76,024 × 76,024
4. Step 4: Simplify right side
   35,096x = 5,779,648,576
5. Step 5: Solve for x
   x = 5,779,648,576/35,096
6. Step 6: Final answer
   x = 164,681.12