Finding the Third Proportional to 13,174 and 23,423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,174 : 23,423.50 = 23,423.50 : x
2. Step 2: Convert to fraction form
   13,174/23,423.50 = 23,423.50/x
3. Step 3: Cross multiply
   13,174x = 23,423.50 × 23,423.50
4. Step 4: Simplify right side
   13,174x = 548,660,352.25
5. Step 5: Solve for x
   x = 548,660,352.25/13,174
6. Step 6: Final answer
   x = 41,647.21