Finding the Third Proportional to 722.81 and 1,052.72

Step by Step Solution

1. Step 1: Write the proportion equation
   722.81 : 1,052.72 = 1,052.72 : x
2. Step 2: Convert to fraction form
   722.81/1,052.72 = 1,052.72/x
3. Step 3: Cross multiply
   722.81x = 1,052.72 × 1,052.72
4. Step 4: Simplify right side
   722.81x = 1,108,216.77
5. Step 5: Solve for x
   x = 1,108,216.77/722.81
6. Step 6: Final answer
   x = 1,533.20