Finding the Third Proportional to 1,138.50 and 1,769.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,138.50 : 1,769.06 = 1,769.06 : x
2. Step 2: Convert to fraction form
   1,138.50/1,769.06 = 1,769.06/x
3. Step 3: Cross multiply
   1,138.50x = 1,769.06 × 1,769.06
4. Step 4: Simplify right side
   1,138.50x = 3,129,582.13
5. Step 5: Solve for x
   x = 3,129,582.13/1,138.50
6. Step 6: Final answer
   x = 2,748.86