Finding the Third Proportional to 7,965.84 and 10,821.09

Step by Step Solution

1. Step 1: Write the proportion equation
   7,965.84 : 10,821.09 = 10,821.09 : x
2. Step 2: Convert to fraction form
   7,965.84/10,821.09 = 10,821.09/x
3. Step 3: Cross multiply
   7,965.84x = 10,821.09 × 10,821.09
4. Step 4: Simplify right side
   7,965.84x = 117,096,069.95
5. Step 5: Solve for x
   x = 117,096,069.95/7,965.84
6. Step 6: Final answer
   x = 14,699.77