Finding the Third Proportional to 730.50 and 1,590

Step by Step Solution

1. Step 1: Write the proportion equation
   730.50 : 1,590 = 1,590 : x
2. Step 2: Convert to fraction form
   730.50/1,590 = 1,590/x
3. Step 3: Cross multiply
   730.50x = 1,590 × 1,590
4. Step 4: Simplify right side
   730.50x = 2,528,100
5. Step 5: Solve for x
   x = 2,528,100/730.50
6. Step 6: Final answer
   x = 3,460.78