Finding the Third Proportional to 10.56 and 28.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10.56 : 28.50 = 28.50 : x
2. Step 2: Convert to fraction form
   10.56/28.50 = 28.50/x
3. Step 3: Cross multiply
   10.56x = 28.50 × 28.50
4. Step 4: Simplify right side
   10.56x = 812.25
5. Step 5: Solve for x
   x = 812.25/10.56
6. Step 6: Final answer
   x = 76.90