Finding the Third Proportional to 706.22 and 1,074.52

Step by Step Solution

1. Step 1: Write the proportion equation
   706.22 : 1,074.52 = 1,074.52 : x
2. Step 2: Convert to fraction form
   706.22/1,074.52 = 1,074.52/x
3. Step 3: Cross multiply
   706.22x = 1,074.52 × 1,074.52
4. Step 4: Simplify right side
   706.22x = 1,154,583.83
5. Step 5: Solve for x
   x = 1,154,583.83/706.22
6. Step 6: Final answer
   x = 1,634.88