Finding the Third Proportional to 8,766 and 10,129.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,766 : 10,129.50 = 10,129.50 : x
2. Step 2: Convert to fraction form
   8,766/10,129.50 = 10,129.50/x
3. Step 3: Cross multiply
   8,766x = 10,129.50 × 10,129.50
4. Step 4: Simplify right side
   8,766x = 102,606,770.25
5. Step 5: Solve for x
   x = 102,606,770.25/8,766
6. Step 6: Final answer
   x = 11,705.08