Finding the Third Proportional to 2,421.75 and 3,742.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,421.75 : 3,742.13 = 3,742.13 : x
2. Step 2: Convert to fraction form
   2,421.75/3,742.13 = 3,742.13/x
3. Step 3: Cross multiply
   2,421.75x = 3,742.13 × 3,742.13
4. Step 4: Simplify right side
   2,421.75x = 14,003,499.52
5. Step 5: Solve for x
   x = 14,003,499.52/2,421.75
6. Step 6: Final answer
   x = 5,782.39