Finding the Third Proportional to 2,340.77 and 5,128.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,340.77 : 5,128.63 = 5,128.63 : x
2. Step 2: Convert to fraction form
   2,340.77/5,128.63 = 5,128.63/x
3. Step 3: Cross multiply
   2,340.77x = 5,128.63 × 5,128.63
4. Step 4: Simplify right side
   2,340.77x = 26,302,834.46
5. Step 5: Solve for x
   x = 26,302,834.46/2,340.77
6. Step 6: Final answer
   x = 11,236.81