Finding the Third Proportional to 1,776.52 and 2,027.11

Step by Step Solution

1. Step 1: Write the proportion equation
   1,776.52 : 2,027.11 = 2,027.11 : x
2. Step 2: Convert to fraction form
   1,776.52/2,027.11 = 2,027.11/x
3. Step 3: Cross multiply
   1,776.52x = 2,027.11 × 2,027.11
4. Step 4: Simplify right side
   1,776.52x = 4,109,172.42
5. Step 5: Solve for x
   x = 4,109,172.42/1,776.52
6. Step 6: Final answer
   x = 2,313.05