Finding the Third Proportional to 2,445.38 and 3,788.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,445.38 : 3,788.63 = 3,788.63 : x
2. Step 2: Convert to fraction form
   2,445.38/3,788.63 = 3,788.63/x
3. Step 3: Cross multiply
   2,445.38x = 3,788.63 × 3,788.63
4. Step 4: Simplify right side
   2,445.38x = 14,353,679.39
5. Step 5: Solve for x
   x = 14,353,679.39/2,445.38
6. Step 6: Final answer
   x = 5,869.73