Finding the Third Proportional to 884.81 and 1,026.56

Step by Step Solution

1. Step 1: Write the proportion equation
   884.81 : 1,026.56 = 1,026.56 : x
2. Step 2: Convert to fraction form
   884.81/1,026.56 = 1,026.56/x
3. Step 3: Cross multiply
   884.81x = 1,026.56 × 1,026.56
4. Step 4: Simplify right side
   884.81x = 1,053,830.57
5. Step 5: Solve for x
   x = 1,053,830.57/884.81
6. Step 6: Final answer
   x = 1,191.02