Finding the Third Proportional to 2,866.64 and 5,991.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,866.64 : 5,991.47 = 5,991.47 : x
2. Step 2: Convert to fraction form
   2,866.64/5,991.47 = 5,991.47/x
3. Step 3: Cross multiply
   2,866.64x = 5,991.47 × 5,991.47
4. Step 4: Simplify right side
   2,866.64x = 35,897,697.78
5. Step 5: Solve for x
   x = 35,897,697.78/2,866.64
6. Step 6: Final answer
   x = 12,522.57