Finding the Third Proportional to 747.56 and 1,027.69

Step by Step Solution

1. Step 1: Write the proportion equation
   747.56 : 1,027.69 = 1,027.69 : x
2. Step 2: Convert to fraction form
   747.56/1,027.69 = 1,027.69/x
3. Step 3: Cross multiply
   747.56x = 1,027.69 × 1,027.69
4. Step 4: Simplify right side
   747.56x = 1,056,141.60
5. Step 5: Solve for x
   x = 1,056,141.60/747.56
6. Step 6: Final answer
   x = 1,412.78