Finding the Third Proportional to 743.95 and 1,762.34

Step by Step Solution

1. Step 1: Write the proportion equation
   743.95 : 1,762.34 = 1,762.34 : x
2. Step 2: Convert to fraction form
   743.95/1,762.34 = 1,762.34/x
3. Step 3: Cross multiply
   743.95x = 1,762.34 × 1,762.34
4. Step 4: Simplify right side
   743.95x = 3,105,853.77
5. Step 5: Solve for x
   x = 3,105,853.77/743.95
6. Step 6: Final answer
   x = 4,174.81