Finding the Third Proportional to 7,460 and 10,426

Step by Step Solution

1. Step 1: Write the proportion equation
   7,460 : 10,426 = 10,426 : x
2. Step 2: Convert to fraction form
   7,460/10,426 = 10,426/x
3. Step 3: Cross multiply
   7,460x = 10,426 × 10,426
4. Step 4: Simplify right side
   7,460x = 108,701,476
5. Step 5: Solve for x
   x = 108,701,476/7,460
6. Step 6: Final answer
   x = 14,571.24