Finding the Third Proportional to 1,156 and 1,606

Step by Step Solution

1. Step 1: Write the proportion equation
   1,156 : 1,606 = 1,606 : x
2. Step 2: Convert to fraction form
   1,156/1,606 = 1,606/x
3. Step 3: Cross multiply
   1,156x = 1,606 × 1,606
4. Step 4: Simplify right side
   1,156x = 2,579,236
5. Step 5: Solve for x
   x = 2,579,236/1,156
6. Step 6: Final answer
   x = 2,231.17