Finding the Third Proportional to 10,784 and 23,468

Step by Step Solution

1. Step 1: Write the proportion equation
   10,784 : 23,468 = 23,468 : x
2. Step 2: Convert to fraction form
   10,784/23,468 = 23,468/x
3. Step 3: Cross multiply
   10,784x = 23,468 × 23,468
4. Step 4: Simplify right side
   10,784x = 550,747,024
5. Step 5: Solve for x
   x = 550,747,024/10,784
6. Step 6: Final answer
   x = 51,070.76