Finding the Third Proportional to 10,132 and 16,091

Step by Step Solution

1. Step 1: Write the proportion equation
   10,132 : 16,091 = 16,091 : x
2. Step 2: Convert to fraction form
   10,132/16,091 = 16,091/x
3. Step 3: Cross multiply
   10,132x = 16,091 × 16,091
4. Step 4: Simplify right side
   10,132x = 258,920,281
5. Step 5: Solve for x
   x = 258,920,281/10,132
6. Step 6: Final answer
   x = 25,554.71