Finding the Third Proportional to 6,411 and 8,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,411 : 8,665.50 = 8,665.50 : x
2. Step 2: Convert to fraction form
   6,411/8,665.50 = 8,665.50/x
3. Step 3: Cross multiply
   6,411x = 8,665.50 × 8,665.50
4. Step 4: Simplify right side
   6,411x = 75,090,890.25
5. Step 5: Solve for x
   x = 75,090,890.25/6,411
6. Step 6: Final answer
   x = 11,712.82