Finding the Third Proportional to 700.50 and 1,059.56

Step by Step Solution

1. Step 1: Write the proportion equation
   700.50 : 1,059.56 = 1,059.56 : x
2. Step 2: Convert to fraction form
   700.50/1,059.56 = 1,059.56/x
3. Step 3: Cross multiply
   700.50x = 1,059.56 × 1,059.56
4. Step 4: Simplify right side
   700.50x = 1,122,672.69
5. Step 5: Solve for x
   x = 1,122,672.69/700.50
6. Step 6: Final answer
   x = 1,602.67