Finding the Third Proportional to 10,014 and 16,129.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,014 : 16,129.50 = 16,129.50 : x
2. Step 2: Convert to fraction form
   10,014/16,129.50 = 16,129.50/x
3. Step 3: Cross multiply
   10,014x = 16,129.50 × 16,129.50
4. Step 4: Simplify right side
   10,014x = 260,160,770.25
5. Step 5: Solve for x
   x = 260,160,770.25/10,014
6. Step 6: Final answer
   x = 25,979.71