Finding the Third Proportional to 6,410.07 and 9,166.61

Step by Step Solution

1. Step 1: Write the proportion equation
   6,410.07 : 9,166.61 = 9,166.61 : x
2. Step 2: Convert to fraction form
   6,410.07/9,166.61 = 9,166.61/x
3. Step 3: Cross multiply
   6,410.07x = 9,166.61 × 9,166.61
4. Step 4: Simplify right side
   6,410.07x = 84,026,655.82
5. Step 5: Solve for x
   x = 84,026,655.82/6,410.07
6. Step 6: Final answer
   x = 13,108.53