Finding the Third Proportional to 830.25 and 2,003.06

Step by Step Solution

1. Step 1: Write the proportion equation
   830.25 : 2,003.06 = 2,003.06 : x
2. Step 2: Convert to fraction form
   830.25/2,003.06 = 2,003.06/x
3. Step 3: Cross multiply
   830.25x = 2,003.06 × 2,003.06
4. Step 4: Simplify right side
   830.25x = 4,012,259.38
5. Step 5: Solve for x
   x = 4,012,259.38/830.25
6. Step 6: Final answer
   x = 4,832.59