Finding the Third Proportional to 2,864.63 and 5,911.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,864.63 : 5,911.88 = 5,911.88 : x
2. Step 2: Convert to fraction form
   2,864.63/5,911.88 = 5,911.88/x
3. Step 3: Cross multiply
   2,864.63x = 5,911.88 × 5,911.88
4. Step 4: Simplify right side
   2,864.63x = 34,950,266.02
5. Step 5: Solve for x
   x = 34,950,266.02/2,864.63
6. Step 6: Final answer
   x = 12,200.64