Finding the Third Proportional to 1,010.16 and 1,606.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,010.16 : 1,606.41 = 1,606.41 : x
2. Step 2: Convert to fraction form
   1,010.16/1,606.41 = 1,606.41/x
3. Step 3: Cross multiply
   1,010.16x = 1,606.41 × 1,606.41
4. Step 4: Simplify right side
   1,010.16x = 2,580,541.04
5. Step 5: Solve for x
   x = 2,580,541.04/1,010.16
6. Step 6: Final answer
   x = 2,554.60