Finding the Third Proportional to 1,792.50 and 2,945.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,792.50 : 2,945.25 = 2,945.25 : x
2. Step 2: Convert to fraction form
   1,792.50/2,945.25 = 2,945.25/x
3. Step 3: Cross multiply
   1,792.50x = 2,945.25 × 2,945.25
4. Step 4: Simplify right side
   1,792.50x = 8,674,497.56
5. Step 5: Solve for x
   x = 8,674,497.56/1,792.50
6. Step 6: Final answer
   x = 4,839.33