Finding the Third Proportional to 6,409.69 and 9,386.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,409.69 : 9,386.72 = 9,386.72 : x
2. Step 2: Convert to fraction form
   6,409.69/9,386.72 = 9,386.72/x
3. Step 3: Cross multiply
   6,409.69x = 9,386.72 × 9,386.72
4. Step 4: Simplify right side
   6,409.69x = 88,110,488.89
5. Step 5: Solve for x
   x = 88,110,488.89/6,409.69
6. Step 6: Final answer
   x = 13,746.46