Finding the Third Proportional to 43,414 and 65,108

Step by Step Solution

1. Step 1: Write the proportion equation
   43,414 : 65,108 = 65,108 : x
2. Step 2: Convert to fraction form
   43,414/65,108 = 65,108/x
3. Step 3: Cross multiply
   43,414x = 65,108 × 65,108
4. Step 4: Simplify right side
   43,414x = 4,239,051,664
5. Step 5: Solve for x
   x = 4,239,051,664/43,414
6. Step 6: Final answer
   x = 97,642.50