Finding the Third Proportional to 1,116.50 and 1,769

Step by Step Solution

1. Step 1: Write the proportion equation
   1,116.50 : 1,769 = 1,769 : x
2. Step 2: Convert to fraction form
   1,116.50/1,769 = 1,769/x
3. Step 3: Cross multiply
   1,116.50x = 1,769 × 1,769
4. Step 4: Simplify right side
   1,116.50x = 3,129,361
5. Step 5: Solve for x
   x = 3,129,361/1,116.50
6. Step 6: Final answer
   x = 2,802.83