Finding the Third Proportional to 1,027.37 and 2,117.39

Step by Step Solution

1. Step 1: Write the proportion equation
   1,027.37 : 2,117.39 = 2,117.39 : x
2. Step 2: Convert to fraction form
   1,027.37/2,117.39 = 2,117.39/x
3. Step 3: Cross multiply
   1,027.37x = 2,117.39 × 2,117.39
4. Step 4: Simplify right side
   1,027.37x = 4,483,343.06
5. Step 5: Solve for x
   x = 4,483,343.06/1,027.37
6. Step 6: Final answer
   x = 4,363.90