Finding the Third Proportional to 2,813 and 3,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,813 : 3,719.50 = 3,719.50 : x
2. Step 2: Convert to fraction form
   2,813/3,719.50 = 3,719.50/x
3. Step 3: Cross multiply
   2,813x = 3,719.50 × 3,719.50
4. Step 4: Simplify right side
   2,813x = 13,834,680.25
5. Step 5: Solve for x
   x = 13,834,680.25/2,813
6. Step 6: Final answer
   x = 4,918.12