Finding the Third Proportional to 9,096 and 20,091

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096 : 20,091 = 20,091 : x
2. Step 2: Convert to fraction form
   9,096/20,091 = 20,091/x
3. Step 3: Cross multiply
   9,096x = 20,091 × 20,091
4. Step 4: Simplify right side
   9,096x = 403,648,281
5. Step 5: Solve for x
   x = 403,648,281/9,096
6. Step 6: Final answer
   x = 44,376.46