Finding the Third Proportional to 1,061 and 1,606.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061 : 1,606.75 = 1,606.75 : x
2. Step 2: Convert to fraction form
   1,061/1,606.75 = 1,606.75/x
3. Step 3: Cross multiply
   1,061x = 1,606.75 × 1,606.75
4. Step 4: Simplify right side
   1,061x = 2,581,645.56
5. Step 5: Solve for x
   x = 2,581,645.56/1,061
6. Step 6: Final answer
   x = 2,433.22