Finding the Third Proportional to 1,202.34 and 1,475.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,202.34 : 1,475.72 = 1,475.72 : x
2. Step 2: Convert to fraction form
   1,202.34/1,475.72 = 1,475.72/x
3. Step 3: Cross multiply
   1,202.34x = 1,475.72 × 1,475.72
4. Step 4: Simplify right side
   1,202.34x = 2,177,745.83
5. Step 5: Solve for x
   x = 2,177,745.83/1,202.34
6. Step 6: Final answer
   x = 1,811.25