Finding the Third Proportional to 727 and 1,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   727 : 1,575.50 = 1,575.50 : x
2. Step 2: Convert to fraction form
   727/1,575.50 = 1,575.50/x
3. Step 3: Cross multiply
   727x = 1,575.50 × 1,575.50
4. Step 4: Simplify right side
   727x = 2,482,200.25
5. Step 5: Solve for x
   x = 2,482,200.25/727
6. Step 6: Final answer
   x = 3,414.31