Finding the Third Proportional to 1,069.88 and 1,606.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,069.88 : 1,606.31 = 1,606.31 : x
2. Step 2: Convert to fraction form
   1,069.88/1,606.31 = 1,606.31/x
3. Step 3: Cross multiply
   1,069.88x = 1,606.31 × 1,606.31
4. Step 4: Simplify right side
   1,069.88x = 2,580,239.85
5. Step 5: Solve for x
   x = 2,580,239.85/1,069.88
6. Step 6: Final answer
   x = 2,411.72