Finding the Third Proportional to 23,616 and 35,424

Step by Step Solution

1. Step 1: Write the proportion equation
   23,616 : 35,424 = 35,424 : x
2. Step 2: Convert to fraction form
   23,616/35,424 = 35,424/x
3. Step 3: Cross multiply
   23,616x = 35,424 × 35,424
4. Step 4: Simplify right side
   23,616x = 1,254,859,776
5. Step 5: Solve for x
   x = 1,254,859,776/23,616
6. Step 6: Final answer
   x = 53,136