Finding the Third Proportional to 7,646.91 and 10,824.89

Step by Step Solution

1. Step 1: Write the proportion equation
   7,646.91 : 10,824.89 = 10,824.89 : x
2. Step 2: Convert to fraction form
   7,646.91/10,824.89 = 10,824.89/x
3. Step 3: Cross multiply
   7,646.91x = 10,824.89 × 10,824.89
4. Step 4: Simplify right side
   7,646.91x = 117,178,257.04
5. Step 5: Solve for x
   x = 117,178,257.04/7,646.91
6. Step 6: Final answer
   x = 15,323.62