Finding the Third Proportional to 1,602.28 and 3,181.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,602.28 : 3,181.78 = 3,181.78 : x
2. Step 2: Convert to fraction form
   1,602.28/3,181.78 = 3,181.78/x
3. Step 3: Cross multiply
   1,602.28x = 3,181.78 × 3,181.78
4. Step 4: Simplify right side
   1,602.28x = 10,123,731.92
5. Step 5: Solve for x
   x = 10,123,731.92/1,602.28
6. Step 6: Final answer
   x = 6,318.32