Finding the Third Proportional to 1,688.50 and 2,274

Step by Step Solution

1. Step 1: Write the proportion equation
   1,688.50 : 2,274 = 2,274 : x
2. Step 2: Convert to fraction form
   1,688.50/2,274 = 2,274/x
3. Step 3: Cross multiply
   1,688.50x = 2,274 × 2,274
4. Step 4: Simplify right side
   1,688.50x = 5,171,076
5. Step 5: Solve for x
   x = 5,171,076/1,688.50
6. Step 6: Final answer
   x = 3,062.53