Finding the Third Proportional to 1,669.50 and 2,274.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,669.50 : 2,274.75 = 2,274.75 : x
2. Step 2: Convert to fraction form
   1,669.50/2,274.75 = 2,274.75/x
3. Step 3: Cross multiply
   1,669.50x = 2,274.75 × 2,274.75
4. Step 4: Simplify right side
   1,669.50x = 5,174,487.56
5. Step 5: Solve for x
   x = 5,174,487.56/1,669.50
6. Step 6: Final answer
   x = 3,099.42