Finding the Third Proportional to 1,499.75 and 1,769.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,499.75 : 1,769.75 = 1,769.75 : x
2. Step 2: Convert to fraction form
   1,499.75/1,769.75 = 1,769.75/x
3. Step 3: Cross multiply
   1,499.75x = 1,769.75 × 1,769.75
4. Step 4: Simplify right side
   1,499.75x = 3,132,015.06
5. Step 5: Solve for x
   x = 3,132,015.06/1,499.75
6. Step 6: Final answer
   x = 2,088.36