Finding the Third Proportional to 141.75 and 830.25

Step by Step Solution

1. Step 1: Write the proportion equation
   141.75 : 830.25 = 830.25 : x
2. Step 2: Convert to fraction form
   141.75/830.25 = 830.25/x
3. Step 3: Cross multiply
   141.75x = 830.25 × 830.25
4. Step 4: Simplify right side
   141.75x = 689,315.06
5. Step 5: Solve for x
   x = 689,315.06/141.75
6. Step 6: Final answer
   x = 4,862.89