Finding the Third Proportional to 10,314 and 21,640.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,314 : 21,640.50 = 21,640.50 : x
2. Step 2: Convert to fraction form
   10,314/21,640.50 = 21,640.50/x
3. Step 3: Cross multiply
   10,314x = 21,640.50 × 21,640.50
4. Step 4: Simplify right side
   10,314x = 468,311,240.25
5. Step 5: Solve for x
   x = 468,311,240.25/10,314
6. Step 6: Final answer
   x = 45,405.39