Finding the Third Proportional to 1,351.69 and 3,184.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,351.69 : 3,184.63 = 3,184.63 : x
2. Step 2: Convert to fraction form
   1,351.69/3,184.63 = 3,184.63/x
3. Step 3: Cross multiply
   1,351.69x = 3,184.63 × 3,184.63
4. Step 4: Simplify right side
   1,351.69x = 10,141,861.27
5. Step 5: Solve for x
   x = 10,141,861.27/1,351.69
6. Step 6: Final answer
   x = 7,503.11