Finding the Third Proportional to 2,835 and 5,927.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,835 : 5,927.63 = 5,927.63 : x
2. Step 2: Convert to fraction form
   2,835/5,927.63 = 5,927.63/x
3. Step 3: Cross multiply
   2,835x = 5,927.63 × 5,927.63
4. Step 4: Simplify right side
   2,835x = 35,136,738.14
5. Step 5: Solve for x
   x = 35,136,738.14/2,835
6. Step 6: Final answer
   x = 12,393.91