Finding the Third Proportional to 830.25 and 1,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   830.25 : 1,822.50 = 1,822.50 : x
2. Step 2: Convert to fraction form
   830.25/1,822.50 = 1,822.50/x
3. Step 3: Cross multiply
   830.25x = 1,822.50 × 1,822.50
4. Step 4: Simplify right side
   830.25x = 3,321,506.25
5. Step 5: Solve for x
   x = 3,321,506.25/830.25
6. Step 6: Final answer
   x = 4,000.61