Finding the Third Proportional to 653.34 and 1,019.72

Step by Step Solution

1. Step 1: Write the proportion equation
   653.34 : 1,019.72 = 1,019.72 : x
2. Step 2: Convert to fraction form
   653.34/1,019.72 = 1,019.72/x
3. Step 3: Cross multiply
   653.34x = 1,019.72 × 1,019.72
4. Step 4: Simplify right side
   653.34x = 1,039,826.33
5. Step 5: Solve for x
   x = 1,039,826.33/653.34
6. Step 6: Final answer
   x = 1,591.55