Finding the Third Proportional to 1,377.55 and 1,909.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,377.55 : 1,909.35 = 1,909.35 : x
2. Step 2: Convert to fraction form
   1,377.55/1,909.35 = 1,909.35/x
3. Step 3: Cross multiply
   1,377.55x = 1,909.35 × 1,909.35
4. Step 4: Simplify right side
   1,377.55x = 3,645,630.85
5. Step 5: Solve for x
   x = 3,645,630.85/1,377.55
6. Step 6: Final answer
   x = 2,646.45