Finding the Third Proportional to 2,407 and 3,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,407 : 3,575.50 = 3,575.50 : x
2. Step 2: Convert to fraction form
   2,407/3,575.50 = 3,575.50/x
3. Step 3: Cross multiply
   2,407x = 3,575.50 × 3,575.50
4. Step 4: Simplify right side
   2,407x = 12,784,200.25
5. Step 5: Solve for x
   x = 12,784,200.25/2,407
6. Step 6: Final answer
   x = 5,311.26