Finding the Third Proportional to 706.50 and 1,027.69

Step by Step Solution

1. Step 1: Write the proportion equation
   706.50 : 1,027.69 = 1,027.69 : x
2. Step 2: Convert to fraction form
   706.50/1,027.69 = 1,027.69/x
3. Step 3: Cross multiply
   706.50x = 1,027.69 × 1,027.69
4. Step 4: Simplify right side
   706.50x = 1,056,141.60
5. Step 5: Solve for x
   x = 1,056,141.60/706.50
6. Step 6: Final answer
   x = 1,494.89