Finding the Third Proportional to 10,171 and 16,075.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,171 : 16,075.50 = 16,075.50 : x
2. Step 2: Convert to fraction form
   10,171/16,075.50 = 16,075.50/x
3. Step 3: Cross multiply
   10,171x = 16,075.50 × 16,075.50
4. Step 4: Simplify right side
   10,171x = 258,421,700.25
5. Step 5: Solve for x
   x = 258,421,700.25/10,171
6. Step 6: Final answer
   x = 25,407.70