Finding the Third Proportional to 1,182 and 2,242.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182 : 2,242.50 = 2,242.50 : x
2. Step 2: Convert to fraction form
   1,182/2,242.50 = 2,242.50/x
3. Step 3: Cross multiply
   1,182x = 2,242.50 × 2,242.50
4. Step 4: Simplify right side
   1,182x = 5,028,806.25
5. Step 5: Solve for x
   x = 5,028,806.25/1,182
6. Step 6: Final answer
   x = 4,254.49