Finding the Third Proportional to 21,138 and 45,274

Step by Step Solution

1. Step 1: Write the proportion equation
   21,138 : 45,274 = 45,274 : x
2. Step 2: Convert to fraction form
   21,138/45,274 = 45,274/x
3. Step 3: Cross multiply
   21,138x = 45,274 × 45,274
4. Step 4: Simplify right side
   21,138x = 2,049,735,076
5. Step 5: Solve for x
   x = 2,049,735,076/21,138
6. Step 6: Final answer
   x = 96,969.21