Finding the Third Proportional to 1,777.50 and 2,378.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,777.50 : 2,378.25 = 2,378.25 : x
2. Step 2: Convert to fraction form
   1,777.50/2,378.25 = 2,378.25/x
3. Step 3: Cross multiply
   1,777.50x = 2,378.25 × 2,378.25
4. Step 4: Simplify right side
   1,777.50x = 5,656,073.06
5. Step 5: Solve for x
   x = 5,656,073.06/1,777.50
6. Step 6: Final answer
   x = 3,182.04