Finding the Third Proportional to 830.25 and 1,814.06

Step by Step Solution

1. Step 1: Write the proportion equation
   830.25 : 1,814.06 = 1,814.06 : x
2. Step 2: Convert to fraction form
   830.25/1,814.06 = 1,814.06/x
3. Step 3: Cross multiply
   830.25x = 1,814.06 × 1,814.06
4. Step 4: Simplify right side
   830.25x = 3,290,822.75
5. Step 5: Solve for x
   x = 3,290,822.75/830.25
6. Step 6: Final answer
   x = 3,963.65