Finding the Third Proportional to 10,634 and 23,380

Step by Step Solution

1. Step 1: Write the proportion equation
   10,634 : 23,380 = 23,380 : x
2. Step 2: Convert to fraction form
   10,634/23,380 = 23,380/x
3. Step 3: Cross multiply
   10,634x = 23,380 × 23,380
4. Step 4: Simplify right side
   10,634x = 546,624,400
5. Step 5: Solve for x
   x = 546,624,400/10,634
6. Step 6: Final answer
   x = 51,403.46