Finding the Third Proportional to 832.50 and 1,602

Step by Step Solution

1. Step 1: Write the proportion equation
   832.50 : 1,602 = 1,602 : x
2. Step 2: Convert to fraction form
   832.50/1,602 = 1,602/x
3. Step 3: Cross multiply
   832.50x = 1,602 × 1,602
4. Step 4: Simplify right side
   832.50x = 2,566,404
5. Step 5: Solve for x
   x = 2,566,404/832.50
6. Step 6: Final answer
   x = 3,082.77