Finding the Third Proportional to 563.06 and 891.56

Step by Step Solution

1. Step 1: Write the proportion equation
   563.06 : 891.56 = 891.56 : x
2. Step 2: Convert to fraction form
   563.06/891.56 = 891.56/x
3. Step 3: Cross multiply
   563.06x = 891.56 × 891.56
4. Step 4: Simplify right side
   563.06x = 794,883.69
5. Step 5: Solve for x
   x = 794,883.69/563.06
6. Step 6: Final answer
   x = 1,411.71