Finding the Third Proportional to 2,719.50 and 5,884.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,719.50 : 5,884.13 = 5,884.13 : x
2. Step 2: Convert to fraction form
   2,719.50/5,884.13 = 5,884.13/x
3. Step 3: Cross multiply
   2,719.50x = 5,884.13 × 5,884.13
4. Step 4: Simplify right side
   2,719.50x = 34,622,927.02
5. Step 5: Solve for x
   x = 34,622,927.02/2,719.50
6. Step 6: Final answer
   x = 12,731.36