Finding the Third Proportional to 10,784 and 23,152

Step by Step Solution

1. Step 1: Write the proportion equation
   10,784 : 23,152 = 23,152 : x
2. Step 2: Convert to fraction form
   10,784/23,152 = 23,152/x
3. Step 3: Cross multiply
   10,784x = 23,152 × 23,152
4. Step 4: Simplify right side
   10,784x = 536,015,104
5. Step 5: Solve for x
   x = 536,015,104/10,784
6. Step 6: Final answer
   x = 49,704.66