Finding the Third Proportional to 21,096 and 45,321

Step by Step Solution

1. Step 1: Write the proportion equation
   21,096 : 45,321 = 45,321 : x
2. Step 2: Convert to fraction form
   21,096/45,321 = 45,321/x
3. Step 3: Cross multiply
   21,096x = 45,321 × 45,321
4. Step 4: Simplify right side
   21,096x = 2,053,993,041
5. Step 5: Solve for x
   x = 2,053,993,041/21,096
6. Step 6: Final answer
   x = 97,364.10