Finding the Third Proportional to 6,747.38 and 10,166.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,747.38 : 10,166.63 = 10,166.63 : x
2. Step 2: Convert to fraction form
   6,747.38/10,166.63 = 10,166.63/x
3. Step 3: Cross multiply
   6,747.38x = 10,166.63 × 10,166.63
4. Step 4: Simplify right side
   6,747.38x = 103,360,263.89
5. Step 5: Solve for x
   x = 103,360,263.89/6,747.38
6. Step 6: Final answer
   x = 15,318.59