Finding the Third Proportional to 1,114.50 and 2,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.50 : 2,410.50 = 2,410.50 : x
2. Step 2: Convert to fraction form
   1,114.50/2,410.50 = 2,410.50/x
3. Step 3: Cross multiply
   1,114.50x = 2,410.50 × 2,410.50
4. Step 4: Simplify right side
   1,114.50x = 5,810,510.25
5. Step 5: Solve for x
   x = 5,810,510.25/1,114.50
6. Step 6: Final answer
   x = 5,213.56