Finding the Third Proportional to 23,816 and 52,168

Step by Step Solution

1. Step 1: Write the proportion equation
   23,816 : 52,168 = 52,168 : x
2. Step 2: Convert to fraction form
   23,816/52,168 = 52,168/x
3. Step 3: Cross multiply
   23,816x = 52,168 × 52,168
4. Step 4: Simplify right side
   23,816x = 2,721,500,224
5. Step 5: Solve for x
   x = 2,721,500,224/23,816
6. Step 6: Final answer
   x = 114,271.93