Finding the Third Proportional to 10,767 and 23,311.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,767 : 23,311.50 = 23,311.50 : x
2. Step 2: Convert to fraction form
   10,767/23,311.50 = 23,311.50/x
3. Step 3: Cross multiply
   10,767x = 23,311.50 × 23,311.50
4. Step 4: Simplify right side
   10,767x = 543,426,032.25
5. Step 5: Solve for x
   x = 543,426,032.25/10,767
6. Step 6: Final answer
   x = 50,471.44