Finding the Third Proportional to 1,405.69 and 1,971

Step by Step Solution

1. Step 1: Write the proportion equation
   1,405.69 : 1,971 = 1,971 : x
2. Step 2: Convert to fraction form
   1,405.69/1,971 = 1,971/x
3. Step 3: Cross multiply
   1,405.69x = 1,971 × 1,971
4. Step 4: Simplify right side
   1,405.69x = 3,884,841
5. Step 5: Solve for x
   x = 3,884,841/1,405.69
6. Step 6: Final answer
   x = 2,763.66