Finding the Third Proportional to 4,590 and 7,081.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,590 : 7,081.50 = 7,081.50 : x
2. Step 2: Convert to fraction form
   4,590/7,081.50 = 7,081.50/x
3. Step 3: Cross multiply
   4,590x = 7,081.50 × 7,081.50
4. Step 4: Simplify right side
   4,590x = 50,147,642.25
5. Step 5: Solve for x
   x = 50,147,642.25/4,590
6. Step 6: Final answer
   x = 10,925.41