Finding the Third Proportional to 1,026.42 and 1,633.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.42 : 1,633.92 = 1,633.92 : x
2. Step 2: Convert to fraction form
   1,026.42/1,633.92 = 1,633.92/x
3. Step 3: Cross multiply
   1,026.42x = 1,633.92 × 1,633.92
4. Step 4: Simplify right side
   1,026.42x = 2,669,700.69
5. Step 5: Solve for x
   x = 2,669,700.69/1,026.42
6. Step 6: Final answer
   x = 2,600.98