Finding the Third Proportional to 741.50 and 1,819.25

Step by Step Solution

1. Step 1: Write the proportion equation
   741.50 : 1,819.25 = 1,819.25 : x
2. Step 2: Convert to fraction form
   741.50/1,819.25 = 1,819.25/x
3. Step 3: Cross multiply
   741.50x = 1,819.25 × 1,819.25
4. Step 4: Simplify right side
   741.50x = 3,309,670.56
5. Step 5: Solve for x
   x = 3,309,670.56/741.50
6. Step 6: Final answer
   x = 4,463.48