Finding the Third Proportional to 10,666 and 24,796

Step by Step Solution

1. Step 1: Write the proportion equation
   10,666 : 24,796 = 24,796 : x
2. Step 2: Convert to fraction form
   10,666/24,796 = 24,796/x
3. Step 3: Cross multiply
   10,666x = 24,796 × 24,796
4. Step 4: Simplify right side
   10,666x = 614,841,616
5. Step 5: Solve for x
   x = 614,841,616/10,666
6. Step 6: Final answer
   x = 57,645.00