Finding the Third Proportional to 10,784 and 23,188

Step by Step Solution

1. Step 1: Write the proportion equation
   10,784 : 23,188 = 23,188 : x
2. Step 2: Convert to fraction form
   10,784/23,188 = 23,188/x
3. Step 3: Cross multiply
   10,784x = 23,188 × 23,188
4. Step 4: Simplify right side
   10,784x = 537,683,344
5. Step 5: Solve for x
   x = 537,683,344/10,784
6. Step 6: Final answer
   x = 49,859.36