Finding the Third Proportional to 10,776 and 23,680

Step by Step Solution

1. Step 1: Write the proportion equation
   10,776 : 23,680 = 23,680 : x
2. Step 2: Convert to fraction form
   10,776/23,680 = 23,680/x
3. Step 3: Cross multiply
   10,776x = 23,680 × 23,680
4. Step 4: Simplify right side
   10,776x = 560,742,400
5. Step 5: Solve for x
   x = 560,742,400/10,776
6. Step 6: Final answer
   x = 52,036.23