Finding the Third Proportional to 1,561.50 and 2,438.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,561.50 : 2,438.25 = 2,438.25 : x
2. Step 2: Convert to fraction form
   1,561.50/2,438.25 = 2,438.25/x
3. Step 3: Cross multiply
   1,561.50x = 2,438.25 × 2,438.25
4. Step 4: Simplify right side
   1,561.50x = 5,945,063.06
5. Step 5: Solve for x
   x = 5,945,063.06/1,561.50
6. Step 6: Final answer
   x = 3,807.28