Finding the Third Proportional to 830.50 and 1,003

Step by Step Solution

1. Step 1: Write the proportion equation
   830.50 : 1,003 = 1,003 : x
2. Step 2: Convert to fraction form
   830.50/1,003 = 1,003/x
3. Step 3: Cross multiply
   830.50x = 1,003 × 1,003
4. Step 4: Simplify right side
   830.50x = 1,006,009
5. Step 5: Solve for x
   x = 1,006,009/830.50
6. Step 6: Final answer
   x = 1,211.33