Finding the Third Proportional to 7,824.94 and 16,687.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,824.94 : 16,687.69 = 16,687.69 : x
2. Step 2: Convert to fraction form
   7,824.94/16,687.69 = 16,687.69/x
3. Step 3: Cross multiply
   7,824.94x = 16,687.69 × 16,687.69
4. Step 4: Simplify right side
   7,824.94x = 278,478,914.10
5. Step 5: Solve for x
   x = 278,478,914.10/7,824.94
6. Step 6: Final answer
   x = 35,588.64