Finding the Third Proportional to 6,783.12 and 17,666.86

Step by Step Solution

1. Step 1: Write the proportion equation
   6,783.12 : 17,666.86 = 17,666.86 : x
2. Step 2: Convert to fraction form
   6,783.12/17,666.86 = 17,666.86/x
3. Step 3: Cross multiply
   6,783.12x = 17,666.86 × 17,666.86
4. Step 4: Simplify right side
   6,783.12x = 312,117,920.18
5. Step 5: Solve for x
   x = 312,117,920.18/6,783.12
6. Step 6: Final answer
   x = 46,013.94