Finding the Third Proportional to 23,719 and 35,516

Step by Step Solution

1. Step 1: Write the proportion equation
   23,719 : 35,516 = 35,516 : x
2. Step 2: Convert to fraction form
   23,719/35,516 = 35,516/x
3. Step 3: Cross multiply
   23,719x = 35,516 × 35,516
4. Step 4: Simplify right side
   23,719x = 1,261,386,256
5. Step 5: Solve for x
   x = 1,261,386,256/23,719
6. Step 6: Final answer
   x = 53,180.41