Finding the Third Proportional to 10,138 and 21,380

Step by Step Solution

1. Step 1: Write the proportion equation
   10,138 : 21,380 = 21,380 : x
2. Step 2: Convert to fraction form
   10,138/21,380 = 21,380/x
3. Step 3: Cross multiply
   10,138x = 21,380 × 21,380
4. Step 4: Simplify right side
   10,138x = 457,104,400
5. Step 5: Solve for x
   x = 457,104,400/10,138
6. Step 6: Final answer
   x = 45,088.22