Finding the Third Proportional to 1,846.50 and 2,798.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,846.50 : 2,798.25 = 2,798.25 : x
2. Step 2: Convert to fraction form
   1,846.50/2,798.25 = 2,798.25/x
3. Step 3: Cross multiply
   1,846.50x = 2,798.25 × 2,798.25
4. Step 4: Simplify right side
   1,846.50x = 7,830,203.06
5. Step 5: Solve for x
   x = 7,830,203.06/1,846.50
6. Step 6: Final answer
   x = 4,240.56