Finding the Third Proportional to 692.58 and 1,493.86

Step by Step Solution

1. Step 1: Write the proportion equation
   692.58 : 1,493.86 = 1,493.86 : x
2. Step 2: Convert to fraction form
   692.58/1,493.86 = 1,493.86/x
3. Step 3: Cross multiply
   692.58x = 1,493.86 × 1,493.86
4. Step 4: Simplify right side
   692.58x = 2,231,615.83
5. Step 5: Solve for x
   x = 2,231,615.83/692.58
6. Step 6: Final answer
   x = 3,222.19