Finding the Third Proportional to 830.81 and 1,958.06

Step by Step Solution

1. Step 1: Write the proportion equation
   830.81 : 1,958.06 = 1,958.06 : x
2. Step 2: Convert to fraction form
   830.81/1,958.06 = 1,958.06/x
3. Step 3: Cross multiply
   830.81x = 1,958.06 × 1,958.06
4. Step 4: Simplify right side
   830.81x = 3,834,008.75
5. Step 5: Solve for x
   x = 3,834,008.75/830.81
6. Step 6: Final answer
   x = 4,614.77