Finding the Third Proportional to 11,462 and 17,737

Step by Step Solution

1. Step 1: Write the proportion equation
   11,462 : 17,737 = 17,737 : x
2. Step 2: Convert to fraction form
   11,462/17,737 = 17,737/x
3. Step 3: Cross multiply
   11,462x = 17,737 × 17,737
4. Step 4: Simplify right side
   11,462x = 314,601,169
5. Step 5: Solve for x
   x = 314,601,169/11,462
6. Step 6: Final answer
   x = 27,447.32