Finding the Third Proportional to 6,928 and 10,465

Step by Step Solution

1. Step 1: Write the proportion equation
   6,928 : 10,465 = 10,465 : x
2. Step 2: Convert to fraction form
   6,928/10,465 = 10,465/x
3. Step 3: Cross multiply
   6,928x = 10,465 × 10,465
4. Step 4: Simplify right side
   6,928x = 109,516,225
5. Step 5: Solve for x
   x = 109,516,225/6,928
6. Step 6: Final answer
   x = 15,807.77