Finding the Third Proportional to 928.50 and 1,830.56

Step by Step Solution

1. Step 1: Write the proportion equation
   928.50 : 1,830.56 = 1,830.56 : x
2. Step 2: Convert to fraction form
   928.50/1,830.56 = 1,830.56/x
3. Step 3: Cross multiply
   928.50x = 1,830.56 × 1,830.56
4. Step 4: Simplify right side
   928.50x = 3,350,959.07
5. Step 5: Solve for x
   x = 3,350,959.07/928.50
6. Step 6: Final answer
   x = 3,609.00