Finding the Third Proportional to 794.50 and 1,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   794.50 : 1,877.50 = 1,877.50 : x
2. Step 2: Convert to fraction form
   794.50/1,877.50 = 1,877.50/x
3. Step 3: Cross multiply
   794.50x = 1,877.50 × 1,877.50
4. Step 4: Simplify right side
   794.50x = 3,525,006.25
5. Step 5: Solve for x
   x = 3,525,006.25/794.50
6. Step 6: Final answer
   x = 4,436.76