Finding the Third Proportional to 23,442 and 41,688

Step by Step Solution

1. Step 1: Write the proportion equation
   23,442 : 41,688 = 41,688 : x
2. Step 2: Convert to fraction form
   23,442/41,688 = 41,688/x
3. Step 3: Cross multiply
   23,442x = 41,688 × 41,688
4. Step 4: Simplify right side
   23,442x = 1,737,889,344
5. Step 5: Solve for x
   x = 1,737,889,344/23,442
6. Step 6: Final answer
   x = 74,135.71