Finding the Third Proportional to 430 and 1,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   430 : 1,005.50 = 1,005.50 : x
2. Step 2: Convert to fraction form
   430/1,005.50 = 1,005.50/x
3. Step 3: Cross multiply
   430x = 1,005.50 × 1,005.50
4. Step 4: Simplify right side
   430x = 1,011,030.25
5. Step 5: Solve for x
   x = 1,011,030.25/430
6. Step 6: Final answer
   x = 2,351.23