Finding the Third Proportional to 2,421.56 and 3,748.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,421.56 : 3,748.78 = 3,748.78 : x
2. Step 2: Convert to fraction form
   2,421.56/3,748.78 = 3,748.78/x
3. Step 3: Cross multiply
   2,421.56x = 3,748.78 × 3,748.78
4. Step 4: Simplify right side
   2,421.56x = 14,053,360.86
5. Step 5: Solve for x
   x = 14,053,360.86/2,421.56
6. Step 6: Final answer
   x = 5,803.43