Finding the Third Proportional to 38,096 and 89,024

Step by Step Solution

1. Step 1: Write the proportion equation
   38,096 : 89,024 = 89,024 : x
2. Step 2: Convert to fraction form
   38,096/89,024 = 89,024/x
3. Step 3: Cross multiply
   38,096x = 89,024 × 89,024
4. Step 4: Simplify right side
   38,096x = 7,925,272,576
5. Step 5: Solve for x
   x = 7,925,272,576/38,096
6. Step 6: Final answer
   x = 208,034.24