Finding the Third Proportional to 1,114.50 and 2,407.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.50 : 2,407.25 = 2,407.25 : x
2. Step 2: Convert to fraction form
   1,114.50/2,407.25 = 2,407.25/x
3. Step 3: Cross multiply
   1,114.50x = 2,407.25 × 2,407.25
4. Step 4: Simplify right side
   1,114.50x = 5,794,852.56
5. Step 5: Solve for x
   x = 5,794,852.56/1,114.50
6. Step 6: Final answer
   x = 5,199.51