Finding the Third Proportional to 942.75 and 1,462.88

Step by Step Solution

1. Step 1: Write the proportion equation
   942.75 : 1,462.88 = 1,462.88 : x
2. Step 2: Convert to fraction form
   942.75/1,462.88 = 1,462.88/x
3. Step 3: Cross multiply
   942.75x = 1,462.88 × 1,462.88
4. Step 4: Simplify right side
   942.75x = 2,140,003.27
5. Step 5: Solve for x
   x = 2,140,003.27/942.75
6. Step 6: Final answer
   x = 2,269.96