Finding the Third Proportional to 1,225 and 1,601.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,225 : 1,601.50 = 1,601.50 : x
2. Step 2: Convert to fraction form
   1,225/1,601.50 = 1,601.50/x
3. Step 3: Cross multiply
   1,225x = 1,601.50 × 1,601.50
4. Step 4: Simplify right side
   1,225x = 2,564,802.25
5. Step 5: Solve for x
   x = 2,564,802.25/1,225
6. Step 6: Final answer
   x = 2,093.72