Finding the Third Proportional to 705.20 and 1,525.72

Step by Step Solution

1. Step 1: Write the proportion equation
   705.20 : 1,525.72 = 1,525.72 : x
2. Step 2: Convert to fraction form
   705.20/1,525.72 = 1,525.72/x
3. Step 3: Cross multiply
   705.20x = 1,525.72 × 1,525.72
4. Step 4: Simplify right side
   705.20x = 2,327,824.04
5. Step 5: Solve for x
   x = 2,327,824.04/705.20
6. Step 6: Final answer
   x = 3,300.96