Finding the Third Proportional to 2,446.88 and 3,742.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,446.88 : 3,742.88 = 3,742.88 : x
2. Step 2: Convert to fraction form
   2,446.88/3,742.88 = 3,742.88/x
3. Step 3: Cross multiply
   2,446.88x = 3,742.88 × 3,742.88
4. Step 4: Simplify right side
   2,446.88x = 14,009,113.27
5. Step 5: Solve for x
   x = 14,009,113.27/2,446.88
6. Step 6: Final answer
   x = 5,725.31