Finding the Third Proportional to 429.75 and 1,011.94

Step by Step Solution

1. Step 1: Write the proportion equation
   429.75 : 1,011.94 = 1,011.94 : x
2. Step 2: Convert to fraction form
   429.75/1,011.94 = 1,011.94/x
3. Step 3: Cross multiply
   429.75x = 1,011.94 × 1,011.94
4. Step 4: Simplify right side
   429.75x = 1,024,017.50
5. Step 5: Solve for x
   x = 1,024,017.50/429.75
6. Step 6: Final answer
   x = 2,382.82