Finding the Third Proportional to 10,776 and 24,798

Step by Step Solution

1. Step 1: Write the proportion equation
   10,776 : 24,798 = 24,798 : x
2. Step 2: Convert to fraction form
   10,776/24,798 = 24,798/x
3. Step 3: Cross multiply
   10,776x = 24,798 × 24,798
4. Step 4: Simplify right side
   10,776x = 614,940,804
5. Step 5: Solve for x
   x = 614,940,804/10,776
6. Step 6: Final answer
   x = 57,065.78