Finding the Third Proportional to 1,136.50 and 2,410.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,136.50 : 2,410.25 = 2,410.25 : x
2. Step 2: Convert to fraction form
   1,136.50/2,410.25 = 2,410.25/x
3. Step 3: Cross multiply
   1,136.50x = 2,410.25 × 2,410.25
4. Step 4: Simplify right side
   1,136.50x = 5,809,305.06
5. Step 5: Solve for x
   x = 5,809,305.06/1,136.50
6. Step 6: Final answer
   x = 5,111.58