Finding the Third Proportional to 692.81 and 1,071.38

Step by Step Solution

1. Step 1: Write the proportion equation
   692.81 : 1,071.38 = 1,071.38 : x
2. Step 2: Convert to fraction form
   692.81/1,071.38 = 1,071.38/x
3. Step 3: Cross multiply
   692.81x = 1,071.38 × 1,071.38
4. Step 4: Simplify right side
   692.81x = 1,147,844.39
5. Step 5: Solve for x
   x = 1,147,844.39/692.81
6. Step 6: Final answer
   x = 1,656.79