Finding the Third Proportional to 1,141.88 and 2,462.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.88 : 2,462.63 = 2,462.63 : x
2. Step 2: Convert to fraction form
   1,141.88/2,462.63 = 2,462.63/x
3. Step 3: Cross multiply
   1,141.88x = 2,462.63 × 2,462.63
4. Step 4: Simplify right side
   1,141.88x = 6,064,521.89
5. Step 5: Solve for x
   x = 6,064,521.89/1,141.88
6. Step 6: Final answer
   x = 5,311.02