Finding the Third Proportional to 1,891.69 and 2,071.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,891.69 : 2,071.69 = 2,071.69 : x
2. Step 2: Convert to fraction form
   1,891.69/2,071.69 = 2,071.69/x
3. Step 3: Cross multiply
   1,891.69x = 2,071.69 × 2,071.69
4. Step 4: Simplify right side
   1,891.69x = 4,291,889.10
5. Step 5: Solve for x
   x = 4,291,889.10/1,891.69
6. Step 6: Final answer
   x = 2,268.82