Finding the Third Proportional to 1,012.92 and 1,603.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.92 : 1,603.76 = 1,603.76 : x
2. Step 2: Convert to fraction form
   1,012.92/1,603.76 = 1,603.76/x
3. Step 3: Cross multiply
   1,012.92x = 1,603.76 × 1,603.76
4. Step 4: Simplify right side
   1,012.92x = 2,572,039.12
5. Step 5: Solve for x
   x = 2,572,039.12/1,012.92
6. Step 6: Final answer
   x = 2,539.23