Finding the Third Proportional to 1,601.50 and 2,353

Step by Step Solution

1. Step 1: Write the proportion equation
   1,601.50 : 2,353 = 2,353 : x
2. Step 2: Convert to fraction form
   1,601.50/2,353 = 2,353/x
3. Step 3: Cross multiply
   1,601.50x = 2,353 × 2,353
4. Step 4: Simplify right side
   1,601.50x = 5,536,609
5. Step 5: Solve for x
   x = 5,536,609/1,601.50
6. Step 6: Final answer
   x = 3,457.14