Finding the Third Proportional to 1,139.06 and 1,769.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,139.06 : 1,769.34 = 1,769.34 : x
2. Step 2: Convert to fraction form
   1,139.06/1,769.34 = 1,769.34/x
3. Step 3: Cross multiply
   1,139.06x = 1,769.34 × 1,769.34
4. Step 4: Simplify right side
   1,139.06x = 3,130,577.31
5. Step 5: Solve for x
   x = 3,130,577.31/1,139.06
6. Step 6: Final answer
   x = 2,748.38