Finding the Third Proportional to 1,416.00 and 2,082.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,416.00 : 2,082.35 = 2,082.35 : x
2. Step 2: Convert to fraction form
   1,416.00/2,082.35 = 2,082.35/x
3. Step 3: Cross multiply
   1,416.00x = 2,082.35 × 2,082.35
4. Step 4: Simplify right side
   1,416.00x = 4,336,175.83
5. Step 5: Solve for x
   x = 4,336,175.83/1,416.00
6. Step 6: Final answer
   x = 3,062.28