Finding the Third Proportional to 826.50 and 1,884

Step by Step Solution

1. Step 1: Write the proportion equation
   826.50 : 1,884 = 1,884 : x
2. Step 2: Convert to fraction form
   826.50/1,884 = 1,884/x
3. Step 3: Cross multiply
   826.50x = 1,884 × 1,884
4. Step 4: Simplify right side
   826.50x = 3,549,456
5. Step 5: Solve for x
   x = 3,549,456/826.50
6. Step 6: Final answer
   x = 4,294.56