Finding the Third Proportional to 830.95 and 1,300.59

Step by Step Solution

1. Step 1: Write the proportion equation
   830.95 : 1,300.59 = 1,300.59 : x
2. Step 2: Convert to fraction form
   830.95/1,300.59 = 1,300.59/x
3. Step 3: Cross multiply
   830.95x = 1,300.59 × 1,300.59
4. Step 4: Simplify right side
   830.95x = 1,691,544.10
5. Step 5: Solve for x
   x = 1,691,544.10/830.95
6. Step 6: Final answer
   x = 2,035.67