Finding the Third Proportional to 6,746.63 and 10,666.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,746.63 : 10,666.69 = 10,666.69 : x
2. Step 2: Convert to fraction form
   6,746.63/10,666.69 = 10,666.69/x
3. Step 3: Cross multiply
   6,746.63x = 10,666.69 × 10,666.69
4. Step 4: Simplify right side
   6,746.63x = 113,778,222.22
5. Step 5: Solve for x
   x = 113,778,222.22/6,746.63
6. Step 6: Final answer
   x = 16,864.47