Finding the Third Proportional to 10,590 and 13,461

Step by Step Solution

1. Step 1: Write the proportion equation
   10,590 : 13,461 = 13,461 : x
2. Step 2: Convert to fraction form
   10,590/13,461 = 13,461/x
3. Step 3: Cross multiply
   10,590x = 13,461 × 13,461
4. Step 4: Simplify right side
   10,590x = 181,198,521
5. Step 5: Solve for x
   x = 181,198,521/10,590
6. Step 6: Final answer
   x = 17,110.34