Finding the Third Proportional to 6,231 and 10,126.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,231 : 10,126.50 = 10,126.50 : x
2. Step 2: Convert to fraction form
   6,231/10,126.50 = 10,126.50/x
3. Step 3: Cross multiply
   6,231x = 10,126.50 × 10,126.50
4. Step 4: Simplify right side
   6,231x = 102,546,002.25
5. Step 5: Solve for x
   x = 102,546,002.25/6,231
6. Step 6: Final answer
   x = 16,457.39