Finding the Third Proportional to 9,096 and 19,627

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096 : 19,627 = 19,627 : x
2. Step 2: Convert to fraction form
   9,096/19,627 = 19,627/x
3. Step 3: Cross multiply
   9,096x = 19,627 × 19,627
4. Step 4: Simplify right side
   9,096x = 385,219,129
5. Step 5: Solve for x
   x = 385,219,129/9,096
6. Step 6: Final answer
   x = 42,350.39