Finding the Third Proportional to 2,558.63 and 3,753.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,558.63 : 3,753.38 = 3,753.38 : x
2. Step 2: Convert to fraction form
   2,558.63/3,753.38 = 3,753.38/x
3. Step 3: Cross multiply
   2,558.63x = 3,753.38 × 3,753.38
4. Step 4: Simplify right side
   2,558.63x = 14,087,823.89
5. Step 5: Solve for x
   x = 14,087,823.89/2,558.63
6. Step 6: Final answer
   x = 5,506.01