Finding the Third Proportional to 962.16 and 1,529.72

Step by Step Solution

1. Step 1: Write the proportion equation
   962.16 : 1,529.72 = 1,529.72 : x
2. Step 2: Convert to fraction form
   962.16/1,529.72 = 1,529.72/x
3. Step 3: Cross multiply
   962.16x = 1,529.72 × 1,529.72
4. Step 4: Simplify right side
   962.16x = 2,340,039.45
5. Step 5: Solve for x
   x = 2,340,039.45/962.16
6. Step 6: Final answer
   x = 2,432.08