Finding the Third Proportional to 2,427.47 and 3,748.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,427.47 : 3,748.46 = 3,748.46 : x
2. Step 2: Convert to fraction form
   2,427.47/3,748.46 = 3,748.46/x
3. Step 3: Cross multiply
   2,427.47x = 3,748.46 × 3,748.46
4. Step 4: Simplify right side
   2,427.47x = 14,050,988.68
5. Step 5: Solve for x
   x = 14,050,988.68/2,427.47
6. Step 6: Final answer
   x = 5,788.33