Finding the Third Proportional to 844 and 1,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   844 : 1,764.50 = 1,764.50 : x
2. Step 2: Convert to fraction form
   844/1,764.50 = 1,764.50/x
3. Step 3: Cross multiply
   844x = 1,764.50 × 1,764.50
4. Step 4: Simplify right side
   844x = 3,113,460.25
5. Step 5: Solve for x
   x = 3,113,460.25/844
6. Step 6: Final answer
   x = 3,688.93