Finding the Third Proportional to 1,769 and 2,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,769 : 2,773.50 = 2,773.50 : x
2. Step 2: Convert to fraction form
   1,769/2,773.50 = 2,773.50/x
3. Step 3: Cross multiply
   1,769x = 2,773.50 × 2,773.50
4. Step 4: Simplify right side
   1,769x = 7,692,302.25
5. Step 5: Solve for x
   x = 7,692,302.25/1,769
6. Step 6: Final answer
   x = 4,348.39