Finding the Third Proportional to 7,967 and 10,465

Step by Step Solution

1. Step 1: Write the proportion equation
   7,967 : 10,465 = 10,465 : x
2. Step 2: Convert to fraction form
   7,967/10,465 = 10,465/x
3. Step 3: Cross multiply
   7,967x = 10,465 × 10,465
4. Step 4: Simplify right side
   7,967x = 109,516,225
5. Step 5: Solve for x
   x = 109,516,225/7,967
6. Step 6: Final answer
   x = 13,746.23