Finding the Third Proportional to 1,762.50 and 2,373.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,762.50 : 2,373.25 = 2,373.25 : x
2. Step 2: Convert to fraction form
   1,762.50/2,373.25 = 2,373.25/x
3. Step 3: Cross multiply
   1,762.50x = 2,373.25 × 2,373.25
4. Step 4: Simplify right side
   1,762.50x = 5,632,315.56
5. Step 5: Solve for x
   x = 5,632,315.56/1,762.50
6. Step 6: Final answer
   x = 3,195.64