Finding the Third Proportional to 1,523.81 and 2,178.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,523.81 : 2,178.56 = 2,178.56 : x
2. Step 2: Convert to fraction form
   1,523.81/2,178.56 = 2,178.56/x
3. Step 3: Cross multiply
   1,523.81x = 2,178.56 × 2,178.56
4. Step 4: Simplify right side
   1,523.81x = 4,746,134.57
5. Step 5: Solve for x
   x = 4,746,134.57/1,523.81
6. Step 6: Final answer
   x = 3,114.64