Finding the Third Proportional to 2,890.69 and 4,537.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,890.69 : 4,537.90 = 4,537.90 : x
2. Step 2: Convert to fraction form
   2,890.69/4,537.90 = 4,537.90/x
3. Step 3: Cross multiply
   2,890.69x = 4,537.90 × 4,537.90
4. Step 4: Simplify right side
   2,890.69x = 20,592,522.23
5. Step 5: Solve for x
   x = 20,592,522.23/2,890.69
6. Step 6: Final answer
   x = 7,123.75