Finding the Third Proportional to 1,971.75 and 3,066.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,971.75 : 3,066.75 = 3,066.75 : x
2. Step 2: Convert to fraction form
   1,971.75/3,066.75 = 3,066.75/x
3. Step 3: Cross multiply
   1,971.75x = 3,066.75 × 3,066.75
4. Step 4: Simplify right side
   1,971.75x = 9,404,955.56
5. Step 5: Solve for x
   x = 9,404,955.56/1,971.75
6. Step 6: Final answer
   x = 4,769.85