Finding the Third Proportional to 2,261.75 and 3,501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,261.75 : 3,501.50 = 3,501.50 : x
2. Step 2: Convert to fraction form
   2,261.75/3,501.50 = 3,501.50/x
3. Step 3: Cross multiply
   2,261.75x = 3,501.50 × 3,501.50
4. Step 4: Simplify right side
   2,261.75x = 12,260,502.25
5. Step 5: Solve for x
   x = 12,260,502.25/2,261.75
6. Step 6: Final answer
   x = 5,420.80