Finding the Third Proportional to 2,091 and 2,275.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,091 : 2,275.50 = 2,275.50 : x
2. Step 2: Convert to fraction form
   2,091/2,275.50 = 2,275.50/x
3. Step 3: Cross multiply
   2,091x = 2,275.50 × 2,275.50
4. Step 4: Simplify right side
   2,091x = 5,177,900.25
5. Step 5: Solve for x
   x = 5,177,900.25/2,091
6. Step 6: Final answer
   x = 2,476.28