Finding the Third Proportional to 10,513 and 12,433

Step by Step Solution

1. Step 1: Write the proportion equation
   10,513 : 12,433 = 12,433 : x
2. Step 2: Convert to fraction form
   10,513/12,433 = 12,433/x
3. Step 3: Cross multiply
   10,513x = 12,433 × 12,433
4. Step 4: Simplify right side
   10,513x = 154,579,489
5. Step 5: Solve for x
   x = 154,579,489/10,513
6. Step 6: Final answer
   x = 14,703.65