Finding the Third Proportional to 7,685.63 and 10,431.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,685.63 : 10,431.38 = 10,431.38 : x
2. Step 2: Convert to fraction form
   7,685.63/10,431.38 = 10,431.38/x
3. Step 3: Cross multiply
   7,685.63x = 10,431.38 × 10,431.38
4. Step 4: Simplify right side
   7,685.63x = 108,813,584.39
5. Step 5: Solve for x
   x = 108,813,584.39/7,685.63
6. Step 6: Final answer
   x = 14,158.07