Finding the Third Proportional to 1,368.56 and 2,138.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,368.56 : 2,138.48 = 2,138.48 : x
2. Step 2: Convert to fraction form
   1,368.56/2,138.48 = 2,138.48/x
3. Step 3: Cross multiply
   1,368.56x = 2,138.48 × 2,138.48
4. Step 4: Simplify right side
   1,368.56x = 4,573,115.42
5. Step 5: Solve for x
   x = 4,573,115.42/1,368.56
6. Step 6: Final answer
   x = 3,341.55