Finding the Third Proportional to 701 and 1,053.50

Step by Step Solution

1. Step 1: Write the proportion equation
   701 : 1,053.50 = 1,053.50 : x
2. Step 2: Convert to fraction form
   701/1,053.50 = 1,053.50/x
3. Step 3: Cross multiply
   701x = 1,053.50 × 1,053.50
4. Step 4: Simplify right side
   701x = 1,109,862.25
5. Step 5: Solve for x
   x = 1,109,862.25/701
6. Step 6: Final answer
   x = 1,583.26