Finding the Third Proportional to 2,110.50 and 3,182.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,110.50 : 3,182.63 = 3,182.63 : x
2. Step 2: Convert to fraction form
   2,110.50/3,182.63 = 3,182.63/x
3. Step 3: Cross multiply
   2,110.50x = 3,182.63 × 3,182.63
4. Step 4: Simplify right side
   2,110.50x = 10,129,101.89
5. Step 5: Solve for x
   x = 10,129,101.89/2,110.50
6. Step 6: Final answer
   x = 4,799.38