Finding the Third Proportional to 1,186.52 and 1,769.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,186.52 : 1,769.98 = 1,769.98 : x
2. Step 2: Convert to fraction form
   1,186.52/1,769.98 = 1,769.98/x
3. Step 3: Cross multiply
   1,186.52x = 1,769.98 × 1,769.98
4. Step 4: Simplify right side
   1,186.52x = 3,132,817.03
5. Step 5: Solve for x
   x = 3,132,817.03/1,186.52
6. Step 6: Final answer
   x = 2,640.33