Finding the Third Proportional to 2,892.75 and 5,990.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,892.75 : 5,990.63 = 5,990.63 : x
2. Step 2: Convert to fraction form
   2,892.75/5,990.63 = 5,990.63/x
3. Step 3: Cross multiply
   2,892.75x = 5,990.63 × 5,990.63
4. Step 4: Simplify right side
   2,892.75x = 35,887,587.89
5. Step 5: Solve for x
   x = 35,887,587.89/2,892.75
6. Step 6: Final answer
   x = 12,406.05