Finding the Third Proportional to 763 and 1,142.63

Step by Step Solution

1. Step 1: Write the proportion equation
   763 : 1,142.63 = 1,142.63 : x
2. Step 2: Convert to fraction form
   763/1,142.63 = 1,142.63/x
3. Step 3: Cross multiply
   763x = 1,142.63 × 1,142.63
4. Step 4: Simplify right side
   763x = 1,305,591.89
5. Step 5: Solve for x
   x = 1,305,591.89/763
6. Step 6: Final answer
   x = 1,711.13