Finding the Third Proportional to 23,096 and 34,810

Step by Step Solution

1. Step 1: Write the proportion equation
   23,096 : 34,810 = 34,810 : x
2. Step 2: Convert to fraction form
   23,096/34,810 = 34,810/x
3. Step 3: Cross multiply
   23,096x = 34,810 × 34,810
4. Step 4: Simplify right side
   23,096x = 1,211,736,100
5. Step 5: Solve for x
   x = 1,211,736,100/23,096
6. Step 6: Final answer
   x = 52,465.19