Finding the Third Proportional to 501.50 and 1,172

Step by Step Solution

1. Step 1: Write the proportion equation
   501.50 : 1,172 = 1,172 : x
2. Step 2: Convert to fraction form
   501.50/1,172 = 1,172/x
3. Step 3: Cross multiply
   501.50x = 1,172 × 1,172
4. Step 4: Simplify right side
   501.50x = 1,373,584
5. Step 5: Solve for x
   x = 1,373,584/501.50
6. Step 6: Final answer
   x = 2,738.95