Finding the Third Proportional to 2,127 and 3,268.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,127 : 3,268.50 = 3,268.50 : x
2. Step 2: Convert to fraction form
   2,127/3,268.50 = 3,268.50/x
3. Step 3: Cross multiply
   2,127x = 3,268.50 × 3,268.50
4. Step 4: Simplify right side
   2,127x = 10,683,092.25
5. Step 5: Solve for x
   x = 10,683,092.25/2,127
6. Step 6: Final answer
   x = 5,022.61