Finding the Third Proportional to 972.56 and 1,529.72

Step by Step Solution

1. Step 1: Write the proportion equation
   972.56 : 1,529.72 = 1,529.72 : x
2. Step 2: Convert to fraction form
   972.56/1,529.72 = 1,529.72/x
3. Step 3: Cross multiply
   972.56x = 1,529.72 × 1,529.72
4. Step 4: Simplify right side
   972.56x = 2,340,039.45
5. Step 5: Solve for x
   x = 2,340,039.45/972.56
6. Step 6: Final answer
   x = 2,406.06