Finding the Third Proportional to 10,023 and 13,386

Step by Step Solution

1. Step 1: Write the proportion equation
   10,023 : 13,386 = 13,386 : x
2. Step 2: Convert to fraction form
   10,023/13,386 = 13,386/x
3. Step 3: Cross multiply
   10,023x = 13,386 × 13,386
4. Step 4: Simplify right side
   10,023x = 179,184,996
5. Step 5: Solve for x
   x = 179,184,996/10,023
6. Step 6: Final answer
   x = 17,877.38