Finding the Third Proportional to 1,172 and 2,423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,172 : 2,423.50 = 2,423.50 : x
2. Step 2: Convert to fraction form
   1,172/2,423.50 = 2,423.50/x
3. Step 3: Cross multiply
   1,172x = 2,423.50 × 2,423.50
4. Step 4: Simplify right side
   1,172x = 5,873,352.25
5. Step 5: Solve for x
   x = 5,873,352.25/1,172
6. Step 6: Final answer
   x = 5,011.39