Finding the Third Proportional to 65,976 and 106,434

Step by Step Solution

1. Step 1: Write the proportion equation
   65,976 : 106,434 = 106,434 : x
2. Step 2: Convert to fraction form
   65,976/106,434 = 106,434/x
3. Step 3: Cross multiply
   65,976x = 106,434 × 106,434
4. Step 4: Simplify right side
   65,976x = 11,328,196,356
5. Step 5: Solve for x
   x = 11,328,196,356/65,976
6. Step 6: Final answer
   x = 171,701.78