Finding the Third Proportional to 635 and 1,071.50

Step by Step Solution

1. Step 1: Write the proportion equation
   635 : 1,071.50 = 1,071.50 : x
2. Step 2: Convert to fraction form
   635/1,071.50 = 1,071.50/x
3. Step 3: Cross multiply
   635x = 1,071.50 × 1,071.50
4. Step 4: Simplify right side
   635x = 1,148,112.25
5. Step 5: Solve for x
   x = 1,148,112.25/635
6. Step 6: Final answer
   x = 1,808.05