Finding the Third Proportional to 830.72 and 1,685.02

Step by Step Solution

1. Step 1: Write the proportion equation
   830.72 : 1,685.02 = 1,685.02 : x
2. Step 2: Convert to fraction form
   830.72/1,685.02 = 1,685.02/x
3. Step 3: Cross multiply
   830.72x = 1,685.02 × 1,685.02
4. Step 4: Simplify right side
   830.72x = 2,839,297.40
5. Step 5: Solve for x
   x = 2,839,297.40/830.72
6. Step 6: Final answer
   x = 3,417.86