Finding the Third Proportional to 13,172 and 23,424

Step by Step Solution

1. Step 1: Write the proportion equation
   13,172 : 23,424 = 23,424 : x
2. Step 2: Convert to fraction form
   13,172/23,424 = 23,424/x
3. Step 3: Cross multiply
   13,172x = 23,424 × 23,424
4. Step 4: Simplify right side
   13,172x = 548,683,776
5. Step 5: Solve for x
   x = 548,683,776/13,172
6. Step 6: Final answer
   x = 41,655.31