Finding the Third Proportional to 10,412 and 13,538

Step by Step Solution

1. Step 1: Write the proportion equation
   10,412 : 13,538 = 13,538 : x
2. Step 2: Convert to fraction form
   10,412/13,538 = 13,538/x
3. Step 3: Cross multiply
   10,412x = 13,538 × 13,538
4. Step 4: Simplify right side
   10,412x = 183,277,444
5. Step 5: Solve for x
   x = 183,277,444/10,412
6. Step 6: Final answer
   x = 17,602.52