Finding the Third Proportional to 1,133 and 2,337.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,133 : 2,337.50 = 2,337.50 : x
2. Step 2: Convert to fraction form
   1,133/2,337.50 = 2,337.50/x
3. Step 3: Cross multiply
   1,133x = 2,337.50 × 2,337.50
4. Step 4: Simplify right side
   1,133x = 5,463,906.25
5. Step 5: Solve for x
   x = 5,463,906.25/1,133
6. Step 6: Final answer
   x = 4,822.51